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Eigen Namespace Reference

Namespace containing all symbols from the Eigen library. More...

Namespaces

 Architecture
 
 bfloat16_impl
 
 half_impl
 
 indexing
 
 internal
 
 numext
 
 placeholders
 
 symbolic
 
 TensorSycl
 

Classes

class  LDLT
 Robust Cholesky decomposition of a matrix with pivoting. More...
 
class  LLT
 Standard Cholesky decomposition (LL^T) of a matrix and associated features. More...
 
class  CholmodBase
 The base class for the direct Cholesky factorization of Cholmod. More...
 
class  CholmodSimplicialLLT
 A simplicial direct Cholesky (LLT) factorization and solver based on Cholmod. More...
 
class  CholmodSimplicialLDLT
 A simplicial direct Cholesky (LDLT) factorization and solver based on Cholmod. More...
 
class  CholmodSupernodalLLT
 A supernodal Cholesky (LLT) factorization and solver based on Cholmod. More...
 
class  CholmodDecomposition
 A general Cholesky factorization and solver based on Cholmod. More...
 
struct  bfloat16
 
struct  NumTraits< Eigen::bfloat16 >
 
struct  half
 
struct  NumTraits< Eigen::half >
 
class  ArithmeticSequence
 
class  Array
 General-purpose arrays with easy API for coefficient-wise operations. More...
 
class  MatrixWrapper
 Expression of an array as a mathematical vector or matrix. More...
 
class  ArrayBase
 Base class for all 1D and 2D array, and related expressions. More...
 
class  ArrayWrapper
 Expression of a mathematical vector or matrix as an array object. More...
 
class  BlockImpl
 
class  Block
 Expression of a fixed-size or dynamic-size block. More...
 
class  BlockImpl< XprType, BlockRows, BlockCols, InnerPanel, Dense >
 
class  CommaInitializer
 Helper class used by the comma initializer operator. More...
 
class  InnerIterator
 An InnerIterator allows to loop over the element of any matrix expression. More...
 
class  CwiseBinaryOpImpl
 
class  CwiseBinaryOp
 Generic expression where a coefficient-wise binary operator is applied to two expressions. More...
 
class  CwiseNullaryOp
 Generic expression of a matrix where all coefficients are defined by a functor. More...
 
class  CwiseTernaryOpImpl
 
class  CwiseTernaryOp
 Generic expression where a coefficient-wise ternary operator is applied to two expressions. More...
 
class  CwiseUnaryOpImpl
 
class  CwiseUnaryOp
 Generic expression where a coefficient-wise unary operator is applied to an expression. More...
 
class  CwiseUnaryViewImpl
 
class  CwiseUnaryView
 Generic lvalue expression of a coefficient-wise unary operator of a matrix or a vector. More...
 
class  CwiseUnaryViewImpl< ViewOp, MatrixType, Dense >
 
class  DenseBase
 Base class for all dense matrices, vectors, and arrays. More...
 
class  DenseCoeffsBase< Derived, ReadOnlyAccessors >
 Base class providing read-only coefficient access to matrices and arrays. More...
 
class  DenseCoeffsBase< Derived, WriteAccessors >
 Base class providing read/write coefficient access to matrices and arrays. More...
 
class  DenseCoeffsBase< Derived, DirectAccessors >
 Base class providing direct read-only coefficient access to matrices and arrays. More...
 
class  DenseCoeffsBase< Derived, DirectWriteAccessors >
 Base class providing direct read/write coefficient access to matrices and arrays. More...
 
class  DenseStorage
 
class  DenseStorage< T, 0, _Rows, _Cols, _Options >
 
class  DenseStorage< T, 0, Dynamic, Dynamic, _Options >
 
class  DenseStorage< T, 0, _Rows, Dynamic, _Options >
 
class  DenseStorage< T, 0, Dynamic, _Cols, _Options >
 
class  DenseStorage< T, Size, Dynamic, Dynamic, _Options >
 
class  DenseStorage< T, Size, Dynamic, _Cols, _Options >
 
class  DenseStorage< T, Size, _Rows, Dynamic, _Options >
 
class  DenseStorage< T, Dynamic, Dynamic, Dynamic, _Options >
 
class  DenseStorage< T, Dynamic, _Rows, Dynamic, _Options >
 
class  DenseStorage< T, Dynamic, Dynamic, _Cols, _Options >
 
class  Diagonal
 Expression of a diagonal/subdiagonal/superdiagonal in a matrix. More...
 
class  DiagonalBase
 
class  DiagonalMatrix
 Represents a diagonal matrix with its storage. More...
 
class  DiagonalWrapper
 Expression of a diagonal matrix. More...
 
class  EigenBase
 
class  ForceAlignedAccess
 Enforce aligned packet loads and stores regardless of what is requested. More...
 
class  IndexedViewImpl
 
class  IndexedView
 Expression of a non-sequential sub-matrix defined by arbitrary sequences of row and column indices. More...
 
class  InverseImpl
 
class  Inverse
 Expression of the inverse of another expression. More...
 
class  IOFormat
 Stores a set of parameters controlling the way matrices are printed. More...
 
class  WithFormat
 Pseudo expression providing matrix output with given format. More...
 
class  Map
 A matrix or vector expression mapping an existing array of data. More...
 
class  MapBase< Derived, ReadOnlyAccessors >
 Base class for dense Map and Block expression with direct access. More...
 
class  MapBase< Derived, WriteAccessors >
 Base class for non-const dense Map and Block expression with direct access. More...
 
class  Matrix
 The matrix class, also used for vectors and row-vectors. More...
 
class  MatrixBase
 Base class for all dense matrices, vectors, and expressions. More...
 
class  NestByValue
 Expression which must be nested by value. More...
 
class  NoAlias
 Pseudo expression providing an operator = assuming no aliasing. More...
 
struct  GenericNumTraits
 
class  NumTraits
 Holds information about the various numeric (i.e. scalar) types allowed by Eigen. More...
 
struct  NumTraits< float >
 
struct  NumTraits< double >
 
struct  NumTraits< long double >
 
struct  NumTraits< std::complex< _Real > >
 
struct  NumTraits< Array< Scalar, Rows, Cols, Options, MaxRows, MaxCols > >
 
struct  NumTraits< std::string >
 
struct  NumTraits< void >
 
struct  NumTraits< bool >
 
class  PermutationBase
 Base class for permutations. More...
 
class  PermutationMatrix
 Permutation matrix. More...
 
class  Map< PermutationMatrix< SizeAtCompileTime, MaxSizeAtCompileTime, _StorageIndex >, _PacketAccess >
 
class  TranspositionsWrapper
 
class  PermutationWrapper
 Class to view a vector of integers as a permutation matrix. More...
 
class  InverseImpl< PermutationType, PermutationStorage >
 
class  PlainObjectBase
 
class  ProductImpl
 
class  Product
 Expression of the product of two arbitrary matrices or vectors. More...
 
class  ProductImpl< Lhs, Rhs, Option, Dense >
 
struct  selfadjoint_rank1_update
 
struct  general_product_to_triangular_selector
 
struct  general_product_to_triangular_selector< MatrixType, ProductType, UpLo, true >
 
struct  general_product_to_triangular_selector< MatrixType, ProductType, UpLo, false >
 
struct  selfadjoint_rank1_update< Scalar, Index, ColMajor, UpLo, ConjLhs, ConjRhs >
 
struct  selfadjoint_rank1_update< Scalar, Index, RowMajor, UpLo, ConjLhs, ConjRhs >
 
struct  selfadjoint_product_selector
 
struct  selfadjoint_product_selector< MatrixType, OtherType, UpLo, true >
 
struct  selfadjoint_product_selector< MatrixType, OtherType, UpLo, false >
 
class  RefBase
 
class  Ref
 A matrix or vector expression mapping an existing expression. More...
 
class  Ref< const TPlainObjectType, Options, StrideType >
 
class  Replicate
 Expression of the multiple replication of a matrix or vector. More...
 
class  ReshapedImpl
 
class  Reshaped
 Expression of a fixed-size or dynamic-size reshape. More...
 
class  ReshapedImpl< XprType, Rows, Cols, Order, Dense >
 
class  ReturnByValue
 
class  Reverse
 Expression of the reverse of a vector or matrix. More...
 
class  Select
 Expression of a coefficient wise version of the C++ ternary operator ?: More...
 
class  SelfAdjointView
 Expression of a selfadjoint matrix from a triangular part of a dense matrix. More...
 
class  SolveImpl
 
class  Solve
 Pseudo expression representing a solving operation. More...
 
class  SolveImpl< Decomposition, RhsType, Dense >
 
class  SolverBase
 A base class for matrix decomposition and solvers. More...
 
class  Stride
 Holds strides information for Map. More...
 
class  InnerStride
 Convenience specialization of Stride to specify only an inner stride See class Map for some examples. More...
 
class  OuterStride
 Convenience specialization of Stride to specify only an outer stride See class Map for some examples. More...
 
class  TransposeImpl
 
class  Transpose
 Expression of the transpose of a matrix. More...
 
class  TransposeImpl< MatrixType, Dense >
 
class  TranspositionsBase
 
class  Transpositions
 Represents a sequence of transpositions (row/column interchange) More...
 
class  Map< Transpositions< SizeAtCompileTime, MaxSizeAtCompileTime, _StorageIndex >, PacketAccess >
 
class  Transpose< TranspositionsBase< TranspositionsDerived > >
 
class  TriangularBase
 Base class for triangular part in a matrix. More...
 
class  TriangularViewImpl
 
class  TriangularView
 Expression of a triangular part in a matrix. More...
 
class  TriangularViewImpl< _MatrixType, _Mode, Dense >
 Base class for a triangular part in a dense matrix. More...
 
struct  Dense
 
struct  Sparse
 
struct  SolverStorage
 
struct  PermutationStorage
 
struct  TranspositionsStorage
 
struct  MatrixXpr
 
struct  ArrayXpr
 
struct  DenseShape
 
struct  SolverShape
 
struct  HomogeneousShape
 
struct  DiagonalShape
 
struct  BandShape
 
struct  TriangularShape
 
struct  SelfAdjointShape
 
struct  PermutationShape
 
struct  TranspositionsShape
 
struct  SparseShape
 
class  DenseCoeffsBase
 
class  Flagged
 
class  SwapWrapper
 
class  VectorBlock
 Expression of a fixed-size or dynamic-size sub-vector. More...
 
class  Conjugate
 
class  DiagonalProduct
 
class  MapBase
 
class  SparseView
 Expression of a dense or sparse matrix with zero or too small values removed. More...
 
struct  ProductReturnType
 
struct  LazyProductReturnType
 
class  PartialReduxExpr
 Generic expression of a partially reduxed matrix. More...
 
class  VectorwiseOp
 Pseudo expression providing broadcasting and partial reduction operations. More...
 
class  FullPivLU
 LU decomposition of a matrix with complete pivoting, and related features. More...
 
class  PartialPivLU
 LU decomposition of a matrix with partial pivoting, and related features. More...
 
class  HouseholderQR
 Householder QR decomposition of a matrix. More...
 
class  ColPivHouseholderQR
 Householder rank-revealing QR decomposition of a matrix with column-pivoting. More...
 
class  FullPivHouseholderQR
 Householder rank-revealing QR decomposition of a matrix with full pivoting. More...
 
class  CompleteOrthogonalDecomposition
 Complete orthogonal decomposition (COD) of a matrix. More...
 
class  SVDBase
 Base class of SVD algorithms. More...
 
class  JacobiSVD
 Two-sided Jacobi SVD decomposition of a rectangular matrix. More...
 
class  BDCSVD
 class Bidiagonal Divide and Conquer SVD More...
 
class  HouseholderSequence
 Sequence of Householder reflections acting on subspaces with decreasing size. More...
 
class  JacobiRotation
 Rotation given by a cosine-sine pair. More...
 
class  RotationBase
 Common base class for compact rotation representations. More...
 
class  Cross
 
class  QuaternionBase
 Base class for quaternion expressions. More...
 
class  Rotation2D
 Represents a rotation/orientation in a 2 dimensional space. More...
 
class  AngleAxis
 Represents a 3D rotation as a rotation angle around an arbitrary 3D axis. More...
 
class  Translation
 Represents a translation transformation. More...
 
class  AlignedBox
 An axis aligned box. More...
 
class  Quaternion
 The quaternion class used to represent 3D orientations and rotations. More...
 
class  Transform
 Represents an homogeneous transformation in a N dimensional space. More...
 
class  ParametrizedLine
 A parametrized line. More...
 
class  Hyperplane
 A hyperplane. More...
 
class  UniformScaling
 Represents a generic uniform scaling transformation. More...
 
class  Homogeneous
 Expression of one (or a set of) homogeneous vector(s) More...
 
class  SparseMatrixBase
 Base class of any sparse matrices or sparse expressions. More...
 
struct  MatrixExponentialReturnValue
 
class  MatrixFunctionReturnValue
 
class  MatrixSquareRootReturnValue
 
class  MatrixLogarithmReturnValue
 
class  MatrixPowerReturnValue
 
class  MatrixComplexPowerReturnValue
 
class  aligned_allocator
 STL compatible allocator to use with types requiring a non standrad alignment. More...
 
class  ScalarBinaryOpTraits
 Determines whether the given binary operation of two numeric types is allowed and what the scalar return type is. More...
 
struct  ScalarBinaryOpTraits< T, T, BinaryOp >
 
struct  ScalarBinaryOpTraits< T, typename NumTraits< typename internal::enable_if< NumTraits< T >::IsComplex, T >::type >::Real, BinaryOp >
 
struct  ScalarBinaryOpTraits< typename NumTraits< typename internal::enable_if< NumTraits< T >::IsComplex, T >::type >::Real, T, BinaryOp >
 
struct  ScalarBinaryOpTraits< T, void, BinaryOp >
 
struct  ScalarBinaryOpTraits< void, T, BinaryOp >
 
struct  ScalarBinaryOpTraits< void, void, BinaryOp >
 
struct  partial_redux_dummy_func
 
class  ComplexEigenSolver
 Computes eigenvalues and eigenvectors of general complex matrices. More...
 
class  ComplexSchur
 Performs a complex Schur decomposition of a real or complex square matrix. More...
 
class  EigenSolver
 Computes eigenvalues and eigenvectors of general matrices. More...
 
class  GeneralizedEigenSolver
 Computes the generalized eigenvalues and eigenvectors of a pair of general matrices. More...
 
class  GeneralizedSelfAdjointEigenSolver
 Computes eigenvalues and eigenvectors of the generalized selfadjoint eigen problem. More...
 
class  HessenbergDecomposition
 Reduces a square matrix to Hessenberg form by an orthogonal similarity transformation. More...
 
class  RealQZ
 Performs a real QZ decomposition of a pair of square matrices. More...
 
class  RealSchur
 Performs a real Schur decomposition of a square matrix. More...
 
class  SelfAdjointEigenSolver
 Computes eigenvalues and eigenvectors of selfadjoint matrices. More...
 
class  Tridiagonalization
 Tridiagonal decomposition of a selfadjoint matrix. More...
 
class  Map< const Quaternion< _Scalar >, _Options >
 Quaternion expression mapping a constant memory buffer. More...
 
class  Map< Quaternion< _Scalar >, _Options >
 Expression of a quaternion from a memory buffer. More...
 
class  DiagonalPreconditioner
 A preconditioner based on the digonal entries. More...
 
class  LeastSquareDiagonalPreconditioner
 Jacobi preconditioner for LeastSquaresConjugateGradient. More...
 
class  IdentityPreconditioner
 A naive preconditioner which approximates any matrix as the identity matrix. More...
 
class  BiCGSTAB
 A bi conjugate gradient stabilized solver for sparse square problems. More...
 
class  ConjugateGradient
 A conjugate gradient solver for sparse (or dense) self-adjoint problems. More...
 
class  IncompleteCholesky
 Modified Incomplete Cholesky with dual threshold. More...
 
class  IncompleteLUT
 Incomplete LU factorization with dual-threshold strategy. More...
 
class  IterativeSolverBase
 Base class for linear iterative solvers. More...
 
class  LeastSquaresConjugateGradient
 A conjugate gradient solver for sparse (or dense) least-square problems. More...
 
class  SolveWithGuess
 Pseudo expression representing a solving operation. More...
 
class  KLU
 
class  MetisOrdering
 
class  AMDOrdering
 
class  NaturalOrdering
 
class  COLAMDOrdering
 
class  PardisoLU
 A sparse direct LU factorization and solver based on the PARDISO library. More...
 
class  PardisoLLT
 A sparse direct Cholesky (LLT) factorization and solver based on the PARDISO library. More...
 
class  PardisoLDLT
 A sparse direct Cholesky (LDLT) factorization and solver based on the PARDISO library. More...
 
class  PardisoImpl
 
class  PastixLU
 Interface to the PaStix solver. More...
 
class  PastixLLT
 A sparse direct supernodal Cholesky (LLT) factorization and solver based on the PaStiX library. More...
 
class  PastixLDLT
 A sparse direct supernodal Cholesky (LLT) factorization and solver based on the PaStiX library. More...
 
class  PastixBase
 
class  SimplicialCholeskyBase
 A base class for direct sparse Cholesky factorizations. More...
 
class  SimplicialLLT
 A direct sparse LLT Cholesky factorizations. More...
 
class  SimplicialLDLT
 A direct sparse LDLT Cholesky factorizations without square root. More...
 
class  SimplicialCholesky
 
class  MappedSparseMatrix
 Sparse matrix. More...
 
class  BlockImpl< XprType, BlockRows, BlockCols, true, Sparse >
 
class  BlockImpl< SparseMatrix< _Scalar, _Options, _StorageIndex >, BlockRows, BlockCols, true, Sparse >
 
class  BlockImpl< const SparseMatrix< _Scalar, _Options, _StorageIndex >, BlockRows, BlockCols, true, Sparse >
 
class  BlockImpl< XprType, BlockRows, BlockCols, InnerPanel, Sparse >
 
class  SparseCompressedBase
 Common base class for sparse [compressed]-{row|column}-storage format. More...
 
class  CwiseBinaryOpImpl< BinaryOp, Lhs, Rhs, Sparse >
 
class  SparseMapBase
 
class  SparseMapBase< Derived, ReadOnlyAccessors >
 Common base class for Map and Ref instance of sparse matrix and vector. More...
 
class  SparseMapBase< Derived, WriteAccessors >
 Common base class for writable Map and Ref instance of sparse matrix and vector. More...
 
class  Map< SparseMatrix< MatScalar, MatOptions, MatIndex >, Options, StrideType >
 Specialization of class Map for SparseMatrix-like storage. More...
 
class  Map< const SparseMatrix< MatScalar, MatOptions, MatIndex >, Options, StrideType >
 
class  SparseMatrix
 A versatible sparse matrix representation. More...
 
class  Ref< SparseMatrix< MatScalar, MatOptions, MatIndex >, Options, StrideType >
 A sparse matrix expression referencing an existing sparse expression. More...
 
class  Ref< const SparseMatrix< MatScalar, MatOptions, MatIndex >, Options, StrideType >
 
class  Ref< SparseVector< MatScalar, MatOptions, MatIndex >, Options, StrideType >
 A sparse vector expression referencing an existing sparse vector expression. More...
 
class  Ref< const SparseVector< MatScalar, MatOptions, MatIndex >, Options, StrideType >
 
class  SparseSelfAdjointView
 Pseudo expression to manipulate a triangular sparse matrix as a selfadjoint matrix. More...
 
class  SparseSymmetricPermutationProduct
 
class  SparseSolverBase
 A base class for sparse solvers. More...
 
class  TransposeImpl< MatrixType, Sparse >
 
class  TriangularViewImpl< MatrixType, Mode, Sparse >
 Base class for a triangular part in a sparse matrix. More...
 
class  DynamicSparseMatrix
 
class  SparseVector
 a sparse vector class More...
 
class  SparseDiagonalProduct
 
class  SparseSparseProduct
 
class  SparseTimeDenseProduct
 
class  DenseTimeSparseProduct
 
class  SparseDenseOuterProduct
 
struct  SparseSparseProductReturnType
 
struct  DenseSparseProductReturnType
 
struct  SparseDenseProductReturnType
 
class  Triplet
 A small structure to hold a non zero as a triplet (i,j,value). More...
 
class  SparseLU
 Sparse supernodal LU factorization for general matrices. More...
 
struct  SparseLUMatrixLReturnType
 
struct  SparseLUMatrixUReturnType
 
class  SparseLUTransposeView
 
class  SparseQR
 Sparse left-looking QR factorization with numerical column pivoting. More...
 
struct  SparseQRMatrixQReturnType
 
struct  SparseQRMatrixQTransposeReturnType
 
struct  SparseQR_QProduct
 
class  SPQR
 Sparse QR factorization based on SuiteSparseQR library. More...
 
struct  SPQRMatrixQReturnType
 
struct  SPQRMatrixQTransposeReturnType
 
struct  SPQR_QProduct
 
class  aligned_allocator_indirection
 
struct  SluMatrixMapHelper
 
struct  SluMatrix
 
struct  SluMatrixMapHelper< Matrix< Scalar, Rows, Cols, Options, MRows, MCols > >
 
struct  SluMatrixMapHelper< SparseMatrixBase< Derived > >
 
class  SuperLUBase
 The base class for the direct and incomplete LU factorization of SuperLU. More...
 
class  SuperLU
 A sparse direct LU factorization and solver based on the SuperLU library. More...
 
class  UmfPackLU
 A sparse LU factorization and solver based on UmfPack. More...
 

Typedefs

typedef EIGEN_DEFAULT_DENSE_INDEX_TYPE DenseIndex
 
typedef EIGEN_DEFAULT_DENSE_INDEX_TYPE Index
 The Index type as used for the API. More...
 
typedef std::complex< double > dcomplex
 
typedef std::complex< float > scomplex
 
typedef int BlasIndex
 
typedef AngleAxis< float > AngleAxisf
 
typedef AngleAxis< double > AngleAxisd
 
typedef Quaternion< float > Quaternionf
 
typedef Quaternion< double > Quaterniond
 
typedef Map< Quaternion< float >, 0 > QuaternionMapf
 
typedef Map< Quaternion< double >, 0 > QuaternionMapd
 
typedef Map< Quaternion< float >, AlignedQuaternionMapAlignedf
 
typedef Map< Quaternion< double >, AlignedQuaternionMapAlignedd
 
typedef Rotation2D< float > Rotation2Df
 
typedef Rotation2D< double > Rotation2Dd
 
typedef DiagonalMatrix< float, 2 > AlignedScaling2f
 
typedef DiagonalMatrix< double, 2 > AlignedScaling2d
 
typedef DiagonalMatrix< float, 3 > AlignedScaling3f
 
typedef DiagonalMatrix< double, 3 > AlignedScaling3d
 
typedef Transform< float, 2, IsometryIsometry2f
 
typedef Transform< float, 3, IsometryIsometry3f
 
typedef Transform< double, 2, IsometryIsometry2d
 
typedef Transform< double, 3, IsometryIsometry3d
 
typedef Transform< float, 2, AffineAffine2f
 
typedef Transform< float, 3, AffineAffine3f
 
typedef Transform< double, 2, AffineAffine2d
 
typedef Transform< double, 3, AffineAffine3d
 
typedef Transform< float, 2, AffineCompactAffineCompact2f
 
typedef Transform< float, 3, AffineCompactAffineCompact3f
 
typedef Transform< double, 2, AffineCompactAffineCompact2d
 
typedef Transform< double, 3, AffineCompactAffineCompact3d
 
typedef Transform< float, 2, ProjectiveProjective2f
 
typedef Transform< float, 3, ProjectiveProjective3f
 
typedef Transform< double, 2, ProjectiveProjective2d
 
typedef Transform< double, 3, ProjectiveProjective3d
 
typedef Translation< float, 2 > Translation2f
 
typedef Translation< double, 2 > Translation2d
 
typedef Translation< float, 3 > Translation3f
 
typedef Translation< double, 3 > Translation3d
 

Enumerations

enum  CholmodMode { CholmodAuto , CholmodSimplicialLLt , CholmodSupernodalLLt , CholmodLDLt }
 
enum  { Large = 2 , Small = 3 }
 
enum  { DontAlignCols = 1 }
 
enum  { StreamPrecision = -1 , FullPrecision = -2 }
 
enum  UpLoType {
  Lower =0x1 , Upper =0x2 , UnitDiag =0x4 , ZeroDiag =0x8 ,
  UnitLower =UnitDiag|Lower , UnitUpper =UnitDiag|Upper , StrictlyLower =ZeroDiag|Lower , StrictlyUpper =ZeroDiag|Upper ,
  SelfAdjoint =0x10 , Symmetric =0x20
}
 
enum  AlignmentType {
  Unaligned =0 , Aligned8 =8 , Aligned16 =16 , Aligned32 =32 ,
  Aligned64 =64 , Aligned128 =128 , AlignedMask =255 , Aligned =16 ,
  AlignedMax = Unaligned
}
 
enum  DirectionType { Vertical , Horizontal , BothDirections }
 
enum  TraversalType {
  DefaultTraversal , LinearTraversal , InnerVectorizedTraversal , LinearVectorizedTraversal ,
  SliceVectorizedTraversal , InvalidTraversal , AllAtOnceTraversal
}
 
enum  UnrollingType { NoUnrolling , InnerUnrolling , CompleteUnrolling }
 
enum  SpecializedType { Specialized , BuiltIn }
 
enum  StorageOptions { ColMajor = 0 , RowMajor = 0x1 , AutoAlign = 0 , DontAlign = 0x2 }
 
enum  SideType { OnTheLeft = 1 , OnTheRight = 2 }
 
enum  NaNPropagationOptions { PropagateFast = 0 , PropagateNaN , PropagateNumbers }
 
enum  NoChange_t { NoChange }
 
enum  Sequential_t { Sequential }
 
enum  Default_t { Default }
 
enum  AmbiVectorMode { IsDense = 0 , IsSparse }
 
enum  AccessorLevels { ReadOnlyAccessors , WriteAccessors , DirectAccessors , DirectWriteAccessors }
 
enum  DecompositionOptions {
  Pivoting = 0x01 , NoPivoting = 0x02 , ComputeFullU = 0x04 , ComputeThinU = 0x08 ,
  ComputeFullV = 0x10 , ComputeThinV = 0x20 , EigenvaluesOnly = 0x40 , ComputeEigenvectors = 0x80 ,
  EigVecMask = EigenvaluesOnly | ComputeEigenvectors , Ax_lBx = 0x100 , ABx_lx = 0x200 , BAx_lx = 0x400 ,
  GenEigMask = Ax_lBx | ABx_lx | BAx_lx
}
 
enum  QRPreconditioners { NoQRPreconditioner , HouseholderQRPreconditioner , ColPivHouseholderQRPreconditioner , FullPivHouseholderQRPreconditioner }
 
enum  ComputationInfo { Success = 0 , NumericalIssue = 1 , NoConvergence = 2 , InvalidInput = 3 }
 
enum  TransformTraits { Isometry = 0x1 , Affine = 0x2 , AffineCompact = 0x10 | Affine , Projective = 0x20 }
 
enum  ProductImplType {
  DefaultProduct =0 , LazyProduct , AliasFreeProduct , CoeffBasedProductMode ,
  LazyCoeffBasedProductMode , OuterProduct , InnerProduct , GemvProduct ,
  GemmProduct
}
 
enum  Action { GetAction , SetAction }
 
enum  AutoSize_t { AutoSize }
 
enum  SimplicialCholeskyMode { SimplicialCholeskyLLT , SimplicialCholeskyLDLT }
 
enum  { StandardCompressedFormat = 2 }
 

Functions

template<typename _Scalar , int _Options, typename _StorageIndex >
cholmod_sparse viewAsCholmod (Ref< SparseMatrix< _Scalar, _Options, _StorageIndex > > mat)
 
template<typename _Scalar , int _Options, typename _Index >
const cholmod_sparse viewAsCholmod (const SparseMatrix< _Scalar, _Options, _Index > &mat)
 
template<typename _Scalar , int _Options, typename _Index >
const cholmod_sparse viewAsCholmod (const SparseVector< _Scalar, _Options, _Index > &mat)
 
template<typename _Scalar , int _Options, typename _Index , unsigned int UpLo>
cholmod_sparse viewAsCholmod (const SparseSelfAdjointView< const SparseMatrix< _Scalar, _Options, _Index >, UpLo > &mat)
 
template<typename Derived >
cholmod_dense viewAsCholmod (MatrixBase< Derived > &mat)
 
template<typename Scalar , int Flags, typename StorageIndex >
MappedSparseMatrix< Scalar, Flags, StorageIndex > viewAsEigen (cholmod_sparse &cm)
 
template<typename FirstType , typename SizeType , typename IncrType >
ArithmeticSequence< typename internal::cleanup_index_type< FirstType >::type, typename internal::cleanup_index_type< SizeType >::type, typename internal::cleanup_seq_incr< IncrType >::type > seqN (FirstType first, SizeType size, IncrType incr)
 
template<typename FirstType , typename SizeType >
ArithmeticSequence< typename internal::cleanup_index_type< FirstType >::type, typename internal::cleanup_index_type< SizeType >::type > seqN (FirstType first, SizeType size)
 
template<typename FirstType , typename LastType >
internal::enable_if<!(symbolic::is_symbolic< FirstType >::value||symbolic::is_symbolic< LastType >::value), ArithmeticSequence< typename internal::cleanup_index_type< FirstType >::type, Index > >::type seq (FirstType f, LastType l)
 
template<typename FirstTypeDerived , typename LastType >
internal::enable_if<!symbolic::is_symbolic< LastType >::value, ArithmeticSequence< FirstTypeDerived, symbolic::AddExpr< symbolic::AddExpr< symbolic::NegateExpr< FirstTypeDerived >, symbolic::ValueExpr<> >, symbolic::ValueExpr< internal::FixedInt< 1 > > > > >::type seq (const symbolic::BaseExpr< FirstTypeDerived > &f, LastType l)
 
template<typename FirstType , typename LastTypeDerived >
internal::enable_if<!symbolic::is_symbolic< FirstType >::value, ArithmeticSequence< typename internal::cleanup_index_type< FirstType >::type, symbolic::AddExpr< symbolic::AddExpr< LastTypeDerived, symbolic::ValueExpr<> >, symbolic::ValueExpr< internal::FixedInt< 1 > > > > >::type seq (FirstType f, const symbolic::BaseExpr< LastTypeDerived > &l)
 
template<typename FirstTypeDerived , typename LastTypeDerived >
ArithmeticSequence< FirstTypeDerived, symbolic::AddExpr< symbolic::AddExpr< LastTypeDerived, symbolic::NegateExpr< FirstTypeDerived > >, symbolic::ValueExpr< internal::FixedInt< 1 > > > > seq (const symbolic::BaseExpr< FirstTypeDerived > &f, const symbolic::BaseExpr< LastTypeDerived > &l)
 
template<typename FirstType , typename LastType , typename IncrType >
internal::enable_if<!(symbolic::is_symbolic< FirstType >::value||symbolic::is_symbolic< LastType >::value), ArithmeticSequence< typename internal::cleanup_index_type< FirstType >::type, Index, typename internal::cleanup_seq_incr< IncrType >::type > >::type seq (FirstType f, LastType l, IncrType incr)
 
template<typename FirstTypeDerived , typename LastType , typename IncrType >
internal::enable_if<!symbolic::is_symbolic< LastType >::value, ArithmeticSequence< FirstTypeDerived, symbolic::QuotientExpr< symbolic::AddExpr< symbolic::AddExpr< symbolic::NegateExpr< FirstTypeDerived >, symbolic::ValueExpr<> >, symbolic::ValueExpr< typename internal::cleanup_seq_incr< IncrType >::type > >, symbolic::ValueExpr< typename internal::cleanup_seq_incr< IncrType >::type > >, typename internal::cleanup_seq_incr< IncrType >::type > >::type seq (const symbolic::BaseExpr< FirstTypeDerived > &f, LastType l, IncrType incr)
 
template<typename FirstType , typename LastTypeDerived , typename IncrType >
internal::enable_if<!symbolic::is_symbolic< FirstType >::value, ArithmeticSequence< typename internal::cleanup_index_type< FirstType >::type, symbolic::QuotientExpr< symbolic::AddExpr< symbolic::AddExpr< LastTypeDerived, symbolic::ValueExpr<> >, symbolic::ValueExpr< typename internal::cleanup_seq_incr< IncrType >::type > >, symbolic::ValueExpr< typename internal::cleanup_seq_incr< IncrType >::type > >, typename internal::cleanup_seq_incr< IncrType >::type > >::type seq (FirstType f, const symbolic::BaseExpr< LastTypeDerived > &l, IncrType incr)
 
template<typename FirstTypeDerived , typename LastTypeDerived , typename IncrType >
ArithmeticSequence< FirstTypeDerived, symbolic::QuotientExpr< symbolic::AddExpr< symbolic::AddExpr< LastTypeDerived, symbolic::NegateExpr< FirstTypeDerived > >, symbolic::ValueExpr< typename internal::cleanup_seq_incr< IncrType >::type > >, symbolic::ValueExpr< typename internal::cleanup_seq_incr< IncrType >::type > >, typename internal::cleanup_seq_incr< IncrType >::type > seq (const symbolic::BaseExpr< FirstTypeDerived > &f, const symbolic::BaseExpr< LastTypeDerived > &l, IncrType incr)
 
template<typename MatrixDerived , typename PermutationDerived >
EIGEN_DEVICE_FUNC const Product< MatrixDerived, PermutationDerived, AliasFreeProductoperator* (const MatrixBase< MatrixDerived > &matrix, const PermutationBase< PermutationDerived > &permutation)
 
template<typename PermutationDerived , typename MatrixDerived >
EIGEN_DEVICE_FUNC const Product< PermutationDerived, MatrixDerived, AliasFreeProductoperator* (const PermutationBase< PermutationDerived > &permutation, const MatrixBase< MatrixDerived > &matrix)
 
std::ptrdiff_t l1CacheSize ()
 
std::ptrdiff_t l2CacheSize ()
 
std::ptrdiff_t l3CacheSize ()
 
void setCpuCacheSizes (std::ptrdiff_t l1, std::ptrdiff_t l2, std::ptrdiff_t l3)
 
void initParallel ()
 
int nbThreads ()
 
void setNbThreads (int v)
 
template<typename MatrixDerived , typename TranspositionsDerived >
EIGEN_DEVICE_FUNC const Product< MatrixDerived, TranspositionsDerived, AliasFreeProductoperator* (const MatrixBase< MatrixDerived > &matrix, const TranspositionsBase< TranspositionsDerived > &transpositions)
 
template<typename TranspositionsDerived , typename MatrixDerived >
EIGEN_DEVICE_FUNC const Product< TranspositionsDerived, MatrixDerived, AliasFreeProductoperator* (const TranspositionsBase< TranspositionsDerived > &transpositions, const MatrixBase< MatrixDerived > &matrix)
 
static const char * SimdInstructionSetsInUse (void)
 
static const symbolic::AddExpr< symbolic::SymbolExpr< internal::symbolic_last_tag >, symbolic::ValueExpr< Eigen::internal::FixedInt< 1 > > > lastp1 (last+fix< 1 >())
 
template<int N>
internal::FixedInt< Nfix ()
 
template<int N, typename T >
internal::VariableAndFixedInt< Nfix (T val)
 
UniformScaling< float > Scaling (float s)
 
UniformScaling< double > Scaling (double s)
 
template<typename RealScalar >
UniformScaling< std::complex< RealScalar > > Scaling (const std::complex< RealScalar > &s)
 
template<typename Scalar >
DiagonalMatrix< Scalar, 2 > Scaling (const Scalar &sx, const Scalar &sy)
 
template<typename Scalar >
DiagonalMatrix< Scalar, 3 > Scaling (const Scalar &sx, const Scalar &sy, const Scalar &sz)
 
template<typename Derived >
const DiagonalWrapper< const Derived > Scaling (const MatrixBase< Derived > &coeffs)
 
template<typename Derived , typename OtherDerived >
internal::umeyama_transform_matrix_type< Derived, OtherDerived >::type umeyama (const MatrixBase< Derived > &src, const MatrixBase< OtherDerived > &dst, bool with_scaling=true)
 Returns the transformation between two point sets. More...
 
template<typename OtherDerived , typename VectorsType , typename CoeffsType , int Side>
internal::matrix_type_times_scalar_type< typename VectorsType::Scalar, OtherDerived >::Type operator* (const MatrixBase< OtherDerived > &other, const HouseholderSequence< VectorsType, CoeffsType, Side > &h)
 Computes the product of a matrix with a Householder sequence. More...
 
template<typename VectorsType , typename CoeffsType >
HouseholderSequence< VectorsType, CoeffsType > householderSequence (const VectorsType &v, const CoeffsType &h)
 Convenience function for constructing a Householder sequence. More...
 
template<typename VectorsType , typename CoeffsType >
HouseholderSequence< VectorsType, CoeffsType, OnTheRightrightHouseholderSequence (const VectorsType &v, const CoeffsType &h)
 Convenience function for constructing a Householder sequence. More...
 
int klu_solve (klu_symbolic *Symbolic, klu_numeric *Numeric, Index ldim, Index nrhs, double B[], klu_common *Common, double)
 A sparse LU factorization and solver based on KLU. More...
 
int klu_solve (klu_symbolic *Symbolic, klu_numeric *Numeric, Index ldim, Index nrhs, std::complex< double >B[], klu_common *Common, std::complex< double >)
 
int klu_tsolve (klu_symbolic *Symbolic, klu_numeric *Numeric, Index ldim, Index nrhs, double B[], klu_common *Common, double)
 
int klu_tsolve (klu_symbolic *Symbolic, klu_numeric *Numeric, Index ldim, Index nrhs, std::complex< double >B[], klu_common *Common, std::complex< double >)
 
klu_numeric * klu_factor (int Ap[], int Ai[], double Ax[], klu_symbolic *Symbolic, klu_common *Common, double)
 
klu_numeric * klu_factor (int Ap[], int Ai[], std::complex< double > Ax[], klu_symbolic *Symbolic, klu_common *Common, std::complex< double >)
 
template<typename DenseDerived , typename SparseDerived >
EIGEN_STRONG_INLINE const CwiseBinaryOp< internal::scalar_sum_op< typename DenseDerived::Scalar, typename SparseDerived::Scalar >, const DenseDerived, const SparseDerived > operator+ (const MatrixBase< DenseDerived > &a, const SparseMatrixBase< SparseDerived > &b)
 
template<typename SparseDerived , typename DenseDerived >
EIGEN_STRONG_INLINE const CwiseBinaryOp< internal::scalar_sum_op< typename SparseDerived::Scalar, typename DenseDerived::Scalar >, const SparseDerived, const DenseDerived > operator+ (const SparseMatrixBase< SparseDerived > &a, const MatrixBase< DenseDerived > &b)
 
template<typename DenseDerived , typename SparseDerived >
EIGEN_STRONG_INLINE const CwiseBinaryOp< internal::scalar_difference_op< typename DenseDerived::Scalar, typename SparseDerived::Scalar >, const DenseDerived, const SparseDerived > operator- (const MatrixBase< DenseDerived > &a, const SparseMatrixBase< SparseDerived > &b)
 
template<typename SparseDerived , typename DenseDerived >
EIGEN_STRONG_INLINE const CwiseBinaryOp< internal::scalar_difference_op< typename SparseDerived::Scalar, typename DenseDerived::Scalar >, const SparseDerived, const DenseDerived > operator- (const SparseMatrixBase< SparseDerived > &a, const MatrixBase< DenseDerived > &b)
 
template<typename SparseDerived , typename PermDerived >
const Product< SparseDerived, PermDerived, AliasFreeProductoperator* (const SparseMatrixBase< SparseDerived > &matrix, const PermutationBase< PermDerived > &perm)
 
template<typename SparseDerived , typename PermDerived >
const Product< PermDerived, SparseDerived, AliasFreeProductoperator* (const PermutationBase< PermDerived > &perm, const SparseMatrixBase< SparseDerived > &matrix)
 
template<typename SparseDerived , typename PermutationType >
const Product< SparseDerived, Inverse< PermutationType >, AliasFreeProductoperator* (const SparseMatrixBase< SparseDerived > &matrix, const InverseImpl< PermutationType, PermutationStorage > &tperm)
 
template<typename SparseDerived , typename PermutationType >
const Product< Inverse< PermutationType >, SparseDerived, AliasFreeProductoperator* (const InverseImpl< PermutationType, PermutationStorage > &tperm, const SparseMatrixBase< SparseDerived > &matrix)
 
void umfpack_defaults (double control[UMFPACK_CONTROL], double, int)
 
void umfpack_defaults (double control[UMFPACK_CONTROL], std::complex< double >, int)
 
void umfpack_defaults (double control[UMFPACK_CONTROL], double, SuiteSparse_long)
 
void umfpack_defaults (double control[UMFPACK_CONTROL], std::complex< double >, SuiteSparse_long)
 
void umfpack_report_info (double control[UMFPACK_CONTROL], double info[UMFPACK_INFO], double, int)
 
void umfpack_report_info (double control[UMFPACK_CONTROL], double info[UMFPACK_INFO], std::complex< double >, int)
 
void umfpack_report_info (double control[UMFPACK_CONTROL], double info[UMFPACK_INFO], double, SuiteSparse_long)
 
void umfpack_report_info (double control[UMFPACK_CONTROL], double info[UMFPACK_INFO], std::complex< double >, SuiteSparse_long)
 
void umfpack_report_status (double control[UMFPACK_CONTROL], int status, double, int)
 
void umfpack_report_status (double control[UMFPACK_CONTROL], int status, std::complex< double >, int)
 
void umfpack_report_status (double control[UMFPACK_CONTROL], int status, double, SuiteSparse_long)
 
void umfpack_report_status (double control[UMFPACK_CONTROL], int status, std::complex< double >, SuiteSparse_long)
 
void umfpack_report_control (double control[UMFPACK_CONTROL], double, int)
 
void umfpack_report_control (double control[UMFPACK_CONTROL], std::complex< double >, int)
 
void umfpack_report_control (double control[UMFPACK_CONTROL], double, SuiteSparse_long)
 
void umfpack_report_control (double control[UMFPACK_CONTROL], std::complex< double >, SuiteSparse_long)
 
void umfpack_free_numeric (void **Numeric, double, int)
 
void umfpack_free_numeric (void **Numeric, std::complex< double >, int)
 
void umfpack_free_numeric (void **Numeric, double, SuiteSparse_long)
 
void umfpack_free_numeric (void **Numeric, std::complex< double >, SuiteSparse_long)
 
void umfpack_free_symbolic (void **Symbolic, double, int)
 
void umfpack_free_symbolic (void **Symbolic, std::complex< double >, int)
 
void umfpack_free_symbolic (void **Symbolic, double, SuiteSparse_long)
 
void umfpack_free_symbolic (void **Symbolic, std::complex< double >, SuiteSparse_long)
 
int umfpack_symbolic (int n_row, int n_col, const int Ap[], const int Ai[], const double Ax[], void **Symbolic, const double Control[UMFPACK_CONTROL], double Info[UMFPACK_INFO])
 
int umfpack_symbolic (int n_row, int n_col, const int Ap[], const int Ai[], const std::complex< double > Ax[], void **Symbolic, const double Control[UMFPACK_CONTROL], double Info[UMFPACK_INFO])
 
SuiteSparse_long umfpack_symbolic (SuiteSparse_long n_row, SuiteSparse_long n_col, const SuiteSparse_long Ap[], const SuiteSparse_long Ai[], const double Ax[], void **Symbolic, const double Control[UMFPACK_CONTROL], double Info[UMFPACK_INFO])
 
SuiteSparse_long umfpack_symbolic (SuiteSparse_long n_row, SuiteSparse_long n_col, const SuiteSparse_long Ap[], const SuiteSparse_long Ai[], const std::complex< double > Ax[], void **Symbolic, const double Control[UMFPACK_CONTROL], double Info[UMFPACK_INFO])
 
int umfpack_numeric (const int Ap[], const int Ai[], const double Ax[], void *Symbolic, void **Numeric, const double Control[UMFPACK_CONTROL], double Info[UMFPACK_INFO])
 
int umfpack_numeric (const int Ap[], const int Ai[], const std::complex< double > Ax[], void *Symbolic, void **Numeric, const double Control[UMFPACK_CONTROL], double Info[UMFPACK_INFO])
 
SuiteSparse_long umfpack_numeric (const SuiteSparse_long Ap[], const SuiteSparse_long Ai[], const double Ax[], void *Symbolic, void **Numeric, const double Control[UMFPACK_CONTROL], double Info[UMFPACK_INFO])
 
SuiteSparse_long umfpack_numeric (const SuiteSparse_long Ap[], const SuiteSparse_long Ai[], const std::complex< double > Ax[], void *Symbolic, void **Numeric, const double Control[UMFPACK_CONTROL], double Info[UMFPACK_INFO])
 
int umfpack_solve (int sys, const int Ap[], const int Ai[], const double Ax[], double X[], const double B[], void *Numeric, const double Control[UMFPACK_CONTROL], double Info[UMFPACK_INFO])
 
int umfpack_solve (int sys, const int Ap[], const int Ai[], const std::complex< double > Ax[], std::complex< double > X[], const std::complex< double > B[], void *Numeric, const double Control[UMFPACK_CONTROL], double Info[UMFPACK_INFO])
 
SuiteSparse_long umfpack_solve (int sys, const SuiteSparse_long Ap[], const SuiteSparse_long Ai[], const double Ax[], double X[], const double B[], void *Numeric, const double Control[UMFPACK_CONTROL], double Info[UMFPACK_INFO])
 
SuiteSparse_long umfpack_solve (int sys, const SuiteSparse_long Ap[], const SuiteSparse_long Ai[], const std::complex< double > Ax[], std::complex< double > X[], const std::complex< double > B[], void *Numeric, const double Control[UMFPACK_CONTROL], double Info[UMFPACK_INFO])
 
int umfpack_get_lunz (int *lnz, int *unz, int *n_row, int *n_col, int *nz_udiag, void *Numeric, double)
 
int umfpack_get_lunz (int *lnz, int *unz, int *n_row, int *n_col, int *nz_udiag, void *Numeric, std::complex< double >)
 
SuiteSparse_long umfpack_get_lunz (SuiteSparse_long *lnz, SuiteSparse_long *unz, SuiteSparse_long *n_row, SuiteSparse_long *n_col, SuiteSparse_long *nz_udiag, void *Numeric, double)
 
SuiteSparse_long umfpack_get_lunz (SuiteSparse_long *lnz, SuiteSparse_long *unz, SuiteSparse_long *n_row, SuiteSparse_long *n_col, SuiteSparse_long *nz_udiag, void *Numeric, std::complex< double >)
 
int umfpack_get_numeric (int Lp[], int Lj[], double Lx[], int Up[], int Ui[], double Ux[], int P[], int Q[], double Dx[], int *do_recip, double Rs[], void *Numeric)
 
int umfpack_get_numeric (int Lp[], int Lj[], std::complex< double > Lx[], int Up[], int Ui[], std::complex< double > Ux[], int P[], int Q[], std::complex< double > Dx[], int *do_recip, double Rs[], void *Numeric)
 
SuiteSparse_long umfpack_get_numeric (SuiteSparse_long Lp[], SuiteSparse_long Lj[], double Lx[], SuiteSparse_long Up[], SuiteSparse_long Ui[], double Ux[], SuiteSparse_long P[], SuiteSparse_long Q[], double Dx[], SuiteSparse_long *do_recip, double Rs[], void *Numeric)
 
SuiteSparse_long umfpack_get_numeric (SuiteSparse_long Lp[], SuiteSparse_long Lj[], std::complex< double > Lx[], SuiteSparse_long Up[], SuiteSparse_long Ui[], std::complex< double > Ux[], SuiteSparse_long P[], SuiteSparse_long Q[], std::complex< double > Dx[], SuiteSparse_long *do_recip, double Rs[], void *Numeric)
 
int umfpack_get_determinant (double *Mx, double *Ex, void *NumericHandle, double User_Info[UMFPACK_INFO], int)
 
int umfpack_get_determinant (std::complex< double > *Mx, double *Ex, void *NumericHandle, double User_Info[UMFPACK_INFO], int)
 
SuiteSparse_long umfpack_get_determinant (double *Mx, double *Ex, void *NumericHandle, double User_Info[UMFPACK_INFO], SuiteSparse_long)
 
SuiteSparse_long umfpack_get_determinant (std::complex< double > *Mx, double *Ex, void *NumericHandle, double User_Info[UMFPACK_INFO], SuiteSparse_long)
 

Variables

EIGEN_DEVICE_FUNC const Eigen::ArrayBase< Derived > & exponents
 
const int Dynamic = -1
 
const int DynamicIndex = 0xffffff
 
const int UndefinedIncr = 0xfffffe
 
const int Infinity = -1
 
const int HugeCost = 10000
 
const unsigned int RowMajorBit = 0x1
 
const unsigned int EvalBeforeNestingBit = 0x2
 
EIGEN_DEPRECATED const unsigned int EvalBeforeAssigningBit = 0x4
 
const unsigned int PacketAccessBit = 0x8
 
const unsigned int ActualPacketAccessBit = 0x0
 
const unsigned int LinearAccessBit = 0x10
 
const unsigned int LvalueBit = 0x20
 
const unsigned int DirectAccessBit = 0x40
 
EIGEN_DEPRECATED const unsigned int AlignedBit = 0x80
 
const unsigned int NestByRefBit = 0x100
 
const unsigned int NoPreferredStorageOrderBit = 0x200
 
const unsigned int CompressedAccessBit = 0x400
 
const unsigned int HereditaryBits
 
static const symbolic::SymbolExpr< internal::symbolic_last_taglast
 
static const Eigen::internal::all_t all
 
const int AutoOrder = 2
 
const int CoherentAccessPattern = 0x1
 
const int InnerRandomAccessPattern = 0x2 | CoherentAccessPattern
 
const int OuterRandomAccessPattern = 0x4 | CoherentAccessPattern
 
const int RandomAccessPattern = 0x8 | OuterRandomAccessPattern | InnerRandomAccessPattern
 

Detailed Description

Namespace containing all symbols from the Eigen library.

Typedef Documentation

◆ AlignedScaling2d

◆ AlignedScaling2f

◆ AlignedScaling3d

◆ AlignedScaling3f

◆ BlasIndex

typedef int Eigen::BlasIndex

◆ dcomplex

typedef std::complex<double> Eigen::dcomplex

◆ DenseIndex

◆ Index

The Index type as used for the API.

To change this, #define the preprocessor symbol EIGEN_DEFAULT_DENSE_INDEX_TYPE.

See also
\blank TopicPreprocessorDirectives, StorageIndex.

◆ scomplex

typedef std::complex<float> Eigen::scomplex

◆ Translation2d

typedef Translation<double,2> Eigen::Translation2d

◆ Translation2f

typedef Translation<float, 2> Eigen::Translation2f

◆ Translation3d

typedef Translation<double,3> Eigen::Translation3d

◆ Translation3f

typedef Translation<float, 3> Eigen::Translation3f

Enumeration Type Documentation

◆ anonymous enum

anonymous enum
Enumerator
Large 
Small 

◆ anonymous enum

anonymous enum
Enumerator
DontAlignCols 

◆ anonymous enum

anonymous enum
Enumerator
StreamPrecision 
FullPrecision 

◆ anonymous enum

anonymous enum
Enumerator
StandardCompressedFormat 

used by Ref<SparseMatrix> to specify whether the input storage must be in standard compressed form

◆ Action

Enumerator
GetAction 
SetAction 

◆ AmbiVectorMode

Enumerator
IsDense 
IsSparse 

◆ AutoSize_t

Enumerator
AutoSize 

◆ CholmodMode

Enumerator
CholmodAuto 
CholmodSimplicialLLt 
CholmodSupernodalLLt 
CholmodLDLt 

◆ Default_t

Enumerator
Default 

◆ NoChange_t

Enumerator
NoChange 

◆ ProductImplType

Enumerator
DefaultProduct 
LazyProduct 
AliasFreeProduct 
CoeffBasedProductMode 
LazyCoeffBasedProductMode 
OuterProduct 
InnerProduct 
GemvProduct 
GemmProduct 

◆ Sequential_t

Enumerator
Sequential 

◆ SimplicialCholeskyMode

Enumerator
SimplicialCholeskyLLT 
SimplicialCholeskyLDLT 

◆ SpecializedType

Enumerator
Specialized 
BuiltIn 

◆ TraversalType

Enumerator
DefaultTraversal 
LinearTraversal 
InnerVectorizedTraversal 
LinearVectorizedTraversal 
SliceVectorizedTraversal 
InvalidTraversal 
AllAtOnceTraversal 

◆ UnrollingType

Enumerator
NoUnrolling 
InnerUnrolling 
CompleteUnrolling 

Function Documentation

◆ fix() [1/2]

template<int N>
internal::FixedInt<N> Eigen::fix ( )
inline

◆ fix() [2/2]

template<int N, typename T >
internal::VariableAndFixedInt<N> Eigen::fix ( val)
inline

◆ householderSequence()

template<typename VectorsType , typename CoeffsType >
HouseholderSequence<VectorsType,CoeffsType> Eigen::householderSequence ( const VectorsType &  v,
const CoeffsType &  h 
)

Convenience function for constructing a Householder sequence.

\

Returns
A HouseholderSequence constructed from the specified arguments.

◆ initParallel()

void Eigen::initParallel ( )
inline

Must be call first when calling Eigen from multiple threads

◆ klu_factor() [1/2]

klu_numeric* Eigen::klu_factor ( int  Ap[],
int  Ai[],
double  Ax[],
klu_symbolic *  Symbolic,
klu_common *  Common,
double   
)
inline

◆ klu_factor() [2/2]

klu_numeric* Eigen::klu_factor ( int  Ap[],
int  Ai[],
std::complex< double >  Ax[],
klu_symbolic *  Symbolic,
klu_common *  Common,
std::complex< double >   
)
inline

◆ klu_solve() [1/2]

int Eigen::klu_solve ( klu_symbolic *  Symbolic,
klu_numeric *  Numeric,
Index  ldim,
Index  nrhs,
double  B[],
klu_common *  Common,
double   
)
inline

A sparse LU factorization and solver based on KLU.

This class allows to solve for A.X = B sparse linear problems via a LU factorization using the KLU library. The sparse matrix A must be squared and full rank. The vectors or matrices X and B can be either dense or sparse.

Warning
The input matrix A should be in a compressed and column-major form. Otherwise an expensive copy will be made. You can call the inexpensive makeCompressed() to get a compressed matrix.
Template Parameters
_MatrixTypethe type of the sparse matrix A, it must be a SparseMatrix<>

\implsparsesolverconcept

See also
TutorialSparseSolverConcept, class UmfPackLU, class SparseLU

◆ klu_solve() [2/2]

int Eigen::klu_solve ( klu_symbolic *  Symbolic,
klu_numeric *  Numeric,
Index  ldim,
Index  nrhs,
std::complex< double >  B[],
klu_common *  Common,
std::complex< double >   
)
inline

◆ klu_tsolve() [1/2]

int Eigen::klu_tsolve ( klu_symbolic *  Symbolic,
klu_numeric *  Numeric,
Index  ldim,
Index  nrhs,
double  B[],
klu_common *  Common,
double   
)
inline

◆ klu_tsolve() [2/2]

int Eigen::klu_tsolve ( klu_symbolic *  Symbolic,
klu_numeric *  Numeric,
Index  ldim,
Index  nrhs,
std::complex< double >  B[],
klu_common *  Common,
std::complex< double >   
)
inline

◆ l1CacheSize()

std::ptrdiff_t Eigen::l1CacheSize ( )
inline
Returns
the currently set level 1 cpu cache size (in bytes) used to estimate the ideal blocking size parameters.
See also
setCpuCacheSize

◆ l2CacheSize()

std::ptrdiff_t Eigen::l2CacheSize ( )
inline
Returns
the currently set level 2 cpu cache size (in bytes) used to estimate the ideal blocking size parameters.
See also
setCpuCacheSize

◆ l3CacheSize()

std::ptrdiff_t Eigen::l3CacheSize ( )
inline
Returns
the currently set level 3 cpu cache size (in bytes) used to estimate the ideal blocking size paramete\ rs.
See also
setCpuCacheSize

◆ lastp1()

◆ nbThreads()

int Eigen::nbThreads ( )
inline
Returns
the max number of threads reserved for Eigen
See also
setNbThreads

◆ operator*() [1/9]

template<typename SparseDerived , typename PermutationType >
const Product<Inverse<PermutationType>, SparseDerived, AliasFreeProduct> Eigen::operator* ( const InverseImpl< PermutationType, PermutationStorage > &  tperm,
const SparseMatrixBase< SparseDerived > &  matrix 
)
inline
Returns
the matrix with the inverse permutation applied to the rows.

◆ operator*() [2/9]

template<typename MatrixDerived , typename PermutationDerived >
EIGEN_DEVICE_FUNC const Product<MatrixDerived, PermutationDerived, AliasFreeProduct> Eigen::operator* ( const MatrixBase< MatrixDerived > &  matrix,
const PermutationBase< PermutationDerived > &  permutation 
)
Returns
the matrix with the permutation applied to the columns.

◆ operator*() [3/9]

template<typename MatrixDerived , typename TranspositionsDerived >
EIGEN_DEVICE_FUNC const Product<MatrixDerived, TranspositionsDerived, AliasFreeProduct> Eigen::operator* ( const MatrixBase< MatrixDerived > &  matrix,
const TranspositionsBase< TranspositionsDerived > &  transpositions 
)
Returns
the matrix with the transpositions applied to the columns.

◆ operator*() [4/9]

template<typename OtherDerived , typename VectorsType , typename CoeffsType , int Side>
internal::matrix_type_times_scalar_type<typename VectorsType::Scalar,OtherDerived>::Type Eigen::operator* ( const MatrixBase< OtherDerived > &  other,
const HouseholderSequence< VectorsType, CoeffsType, Side > &  h 
)

Computes the product of a matrix with a Householder sequence.

Parameters
[in]otherMatrix being multiplied.
[in]hHouseholderSequence being multiplied.
Returns
Expression object representing the product.

This function computes $ MH $ where $ M $ is the matrix other and $ H $ is the Householder sequence represented by h.

◆ operator*() [5/9]

template<typename SparseDerived , typename PermDerived >
const Product<PermDerived, SparseDerived, AliasFreeProduct> Eigen::operator* ( const PermutationBase< PermDerived > &  perm,
const SparseMatrixBase< SparseDerived > &  matrix 
)
inline
Returns
the matrix with the permutation applied to the rows

◆ operator*() [6/9]

template<typename PermutationDerived , typename MatrixDerived >
EIGEN_DEVICE_FUNC const Product<PermutationDerived, MatrixDerived, AliasFreeProduct> Eigen::operator* ( const PermutationBase< PermutationDerived > &  permutation,
const MatrixBase< MatrixDerived > &  matrix 
)
Returns
the matrix with the permutation applied to the rows.

◆ operator*() [7/9]

template<typename SparseDerived , typename PermutationType >
const Product<SparseDerived, Inverse<PermutationType>, AliasFreeProduct> Eigen::operator* ( const SparseMatrixBase< SparseDerived > &  matrix,
const InverseImpl< PermutationType, PermutationStorage > &  tperm 
)
inline
Returns
the matrix with the inverse permutation applied to the columns.

◆ operator*() [8/9]

template<typename SparseDerived , typename PermDerived >
const Product<SparseDerived, PermDerived, AliasFreeProduct> Eigen::operator* ( const SparseMatrixBase< SparseDerived > &  matrix,
const PermutationBase< PermDerived > &  perm 
)
inline
Returns
the matrix with the permutation applied to the columns

◆ operator*() [9/9]

template<typename TranspositionsDerived , typename MatrixDerived >
EIGEN_DEVICE_FUNC const Product<TranspositionsDerived, MatrixDerived, AliasFreeProduct> Eigen::operator* ( const TranspositionsBase< TranspositionsDerived > &  transpositions,
const MatrixBase< MatrixDerived > &  matrix 
)
Returns
the matrix with the transpositions applied to the rows.

◆ operator+() [1/2]

template<typename DenseDerived , typename SparseDerived >
EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_sum_op<typename DenseDerived::Scalar,typename SparseDerived::Scalar>, const DenseDerived, const SparseDerived> Eigen::operator+ ( const MatrixBase< DenseDerived > &  a,
const SparseMatrixBase< SparseDerived > &  b 
)

◆ operator+() [2/2]

template<typename SparseDerived , typename DenseDerived >
EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_sum_op<typename SparseDerived::Scalar,typename DenseDerived::Scalar>, const SparseDerived, const DenseDerived> Eigen::operator+ ( const SparseMatrixBase< SparseDerived > &  a,
const MatrixBase< DenseDerived > &  b 
)

◆ operator-() [1/2]

template<typename DenseDerived , typename SparseDerived >
EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_difference_op<typename DenseDerived::Scalar,typename SparseDerived::Scalar>, const DenseDerived, const SparseDerived> Eigen::operator- ( const MatrixBase< DenseDerived > &  a,
const SparseMatrixBase< SparseDerived > &  b 
)

◆ operator-() [2/2]

template<typename SparseDerived , typename DenseDerived >
EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_difference_op<typename SparseDerived::Scalar,typename DenseDerived::Scalar>, const SparseDerived, const DenseDerived> Eigen::operator- ( const SparseMatrixBase< SparseDerived > &  a,
const MatrixBase< DenseDerived > &  b 
)

◆ rightHouseholderSequence()

template<typename VectorsType , typename CoeffsType >
HouseholderSequence<VectorsType,CoeffsType,OnTheRight> Eigen::rightHouseholderSequence ( const VectorsType &  v,
const CoeffsType &  h 
)

Convenience function for constructing a Householder sequence.

\

Returns
A HouseholderSequence constructed from the specified arguments.

This function differs from householderSequence() in that the template argument OnTheSide of the constructed HouseholderSequence is set to OnTheRight, instead of the default OnTheLeft.

◆ Scaling() [1/6]

template<typename Derived >
const DiagonalWrapper<const Derived> Eigen::Scaling ( const MatrixBase< Derived > &  coeffs)
inline

Constructs an axis aligned scaling expression from vector expression coeffs This is an alias for coeffs.asDiagonal()

◆ Scaling() [2/6]

template<typename Scalar >
DiagonalMatrix<Scalar,2> Eigen::Scaling ( const Scalar &  sx,
const Scalar &  sy 
)
inline

Constructs a 2D axis aligned scaling

◆ Scaling() [3/6]

template<typename Scalar >
DiagonalMatrix<Scalar,3> Eigen::Scaling ( const Scalar &  sx,
const Scalar &  sy,
const Scalar &  sz 
)
inline

Constructs a 3D axis aligned scaling

◆ Scaling() [4/6]

template<typename RealScalar >
UniformScaling<std::complex<RealScalar> > Eigen::Scaling ( const std::complex< RealScalar > &  s)
inline

Constructs a uniform scaling from scale factor s

◆ Scaling() [5/6]

UniformScaling<double> Eigen::Scaling ( double  s)
inline

Constructs a uniform scaling from scale factor s

◆ Scaling() [6/6]

UniformScaling<float> Eigen::Scaling ( float  s)
inline

Constructs a uniform scaling from scale factor s

◆ seq() [1/8]

template<typename FirstTypeDerived , typename LastTypeDerived >
ArithmeticSequence<FirstTypeDerived, symbolic::AddExpr<symbolic::AddExpr<LastTypeDerived,symbolic::NegateExpr<FirstTypeDerived> >,symbolic::ValueExpr<internal::FixedInt<1> > > > Eigen::seq ( const symbolic::BaseExpr< FirstTypeDerived > &  f,
const symbolic::BaseExpr< LastTypeDerived > &  l 
)

◆ seq() [2/8]

template<typename FirstTypeDerived , typename LastTypeDerived , typename IncrType >
ArithmeticSequence<FirstTypeDerived, symbolic::QuotientExpr<symbolic::AddExpr<symbolic::AddExpr<LastTypeDerived, symbolic::NegateExpr<FirstTypeDerived> >, symbolic::ValueExpr<typename internal::cleanup_seq_incr<IncrType>::type> >, symbolic::ValueExpr<typename internal::cleanup_seq_incr<IncrType>::type> >, typename internal::cleanup_seq_incr<IncrType>::type> Eigen::seq ( const symbolic::BaseExpr< FirstTypeDerived > &  f,
const symbolic::BaseExpr< LastTypeDerived > &  l,
IncrType  incr 
)

◆ seq() [3/8]

template<typename FirstTypeDerived , typename LastType >
internal::enable_if<!symbolic::is_symbolic<LastType>::value, ArithmeticSequence<FirstTypeDerived, symbolic::AddExpr<symbolic::AddExpr<symbolic::NegateExpr<FirstTypeDerived>,symbolic::ValueExpr<> >, symbolic::ValueExpr<internal::FixedInt<1> > > > >::type Eigen::seq ( const symbolic::BaseExpr< FirstTypeDerived > &  f,
LastType  l 
)

◆ seq() [4/8]

template<typename FirstTypeDerived , typename LastType , typename IncrType >
internal::enable_if<!symbolic::is_symbolic<LastType>::value, ArithmeticSequence<FirstTypeDerived, symbolic::QuotientExpr<symbolic::AddExpr<symbolic::AddExpr<symbolic::NegateExpr<FirstTypeDerived>, symbolic::ValueExpr<> >, symbolic::ValueExpr<typename internal::cleanup_seq_incr<IncrType>::type> >, symbolic::ValueExpr<typename internal::cleanup_seq_incr<IncrType>::type> >, typename internal::cleanup_seq_incr<IncrType>::type> >::type Eigen::seq ( const symbolic::BaseExpr< FirstTypeDerived > &  f,
LastType  l,
IncrType  incr 
)

◆ seq() [5/8]

template<typename FirstType , typename LastTypeDerived >
internal::enable_if<!symbolic::is_symbolic<FirstType>::value, ArithmeticSequence<typename internal::cleanup_index_type<FirstType>::type, symbolic::AddExpr<symbolic::AddExpr<LastTypeDerived,symbolic::ValueExpr<> >, symbolic::ValueExpr<internal::FixedInt<1> > > > >::type Eigen::seq ( FirstType  f,
const symbolic::BaseExpr< LastTypeDerived > &  l 
)

◆ seq() [6/8]

template<typename FirstType , typename LastTypeDerived , typename IncrType >
internal::enable_if<!symbolic::is_symbolic<FirstType>::value, ArithmeticSequence<typename internal::cleanup_index_type<FirstType>::type, symbolic::QuotientExpr<symbolic::AddExpr<symbolic::AddExpr<LastTypeDerived,symbolic::ValueExpr<> >, symbolic::ValueExpr<typename internal::cleanup_seq_incr<IncrType>::type> >, symbolic::ValueExpr<typename internal::cleanup_seq_incr<IncrType>::type> >, typename internal::cleanup_seq_incr<IncrType>::type> >::type Eigen::seq ( FirstType  f,
const symbolic::BaseExpr< LastTypeDerived > &  l,
IncrType  incr 
)

◆ seq() [7/8]

template<typename FirstType , typename LastType >
internal::enable_if<!(symbolic::is_symbolic<FirstType>::value || symbolic::is_symbolic<LastType>::value), ArithmeticSequence<typename internal::cleanup_index_type<FirstType>::type,Index> >::type Eigen::seq ( FirstType  f,
LastType  l 
)

◆ seq() [8/8]

template<typename FirstType , typename LastType , typename IncrType >
internal::enable_if<!(symbolic::is_symbolic<FirstType>::value || symbolic::is_symbolic<LastType>::value), ArithmeticSequence<typename internal::cleanup_index_type<FirstType>::type,Index,typename internal::cleanup_seq_incr<IncrType>::type> >::type Eigen::seq ( FirstType  f,
LastType  l,
IncrType  incr 
)

◆ seqN() [1/2]

template<typename FirstType , typename SizeType >
ArithmeticSequence<typename internal::cleanup_index_type<FirstType>::type,typename internal::cleanup_index_type<SizeType>::type > Eigen::seqN ( FirstType  first,
SizeType  size 
)
Returns
an ArithmeticSequence starting at first, of length size, and unit increment
See also
seqN(FirstType,SizeType,IncrType), seq(FirstType,LastType)

◆ seqN() [2/2]

template<typename FirstType , typename SizeType , typename IncrType >
ArithmeticSequence< typename internal::cleanup_index_type< FirstType >::type, typename internal::cleanup_index_type< SizeType >::type, typename internal::cleanup_seq_incr< IncrType >::type > Eigen::seqN ( FirstType  first,
SizeType  size,
IncrType  incr 
)
Returns
an ArithmeticSequence starting at first, of length size, and increment incr
See also
seqN(FirstType,SizeType), seq(FirstType,LastType,IncrType)

◆ setCpuCacheSizes()

void Eigen::setCpuCacheSizes ( std::ptrdiff_t  l1,
std::ptrdiff_t  l2,
std::ptrdiff_t  l3 
)
inline

Set the cpu L1 and L2 cache sizes (in bytes). These values are use to adjust the size of the blocks for the algorithms working per blocks.

See also
computeProductBlockingSizes

◆ setNbThreads()

void Eigen::setNbThreads ( int  v)
inline

Sets the max number of threads reserved for Eigen

See also
nbThreads

◆ SimdInstructionSetsInUse()

static const char* Eigen::SimdInstructionSetsInUse ( void  )
inlinestatic

◆ umfpack_defaults() [1/4]

void Eigen::umfpack_defaults ( double  control[UMFPACK_CONTROL],
double  ,
int   
)
inline

◆ umfpack_defaults() [2/4]

void Eigen::umfpack_defaults ( double  control[UMFPACK_CONTROL],
double  ,
SuiteSparse_long   
)
inline

◆ umfpack_defaults() [3/4]

void Eigen::umfpack_defaults ( double  control[UMFPACK_CONTROL],
std::complex< double >  ,
int   
)
inline

◆ umfpack_defaults() [4/4]

void Eigen::umfpack_defaults ( double  control[UMFPACK_CONTROL],
std::complex< double >  ,
SuiteSparse_long   
)
inline

◆ umfpack_free_numeric() [1/4]

void Eigen::umfpack_free_numeric ( void **  Numeric,
double  ,
int   
)
inline

◆ umfpack_free_numeric() [2/4]

void Eigen::umfpack_free_numeric ( void **  Numeric,
double  ,
SuiteSparse_long   
)
inline

◆ umfpack_free_numeric() [3/4]

void Eigen::umfpack_free_numeric ( void **  Numeric,
std::complex< double >  ,
int   
)
inline

◆ umfpack_free_numeric() [4/4]

void Eigen::umfpack_free_numeric ( void **  Numeric,
std::complex< double >  ,
SuiteSparse_long   
)
inline

◆ umfpack_free_symbolic() [1/4]

void Eigen::umfpack_free_symbolic ( void **  Symbolic,
double  ,
int   
)
inline

◆ umfpack_free_symbolic() [2/4]

void Eigen::umfpack_free_symbolic ( void **  Symbolic,
double  ,
SuiteSparse_long   
)
inline

◆ umfpack_free_symbolic() [3/4]

void Eigen::umfpack_free_symbolic ( void **  Symbolic,
std::complex< double >  ,
int   
)
inline

◆ umfpack_free_symbolic() [4/4]

void Eigen::umfpack_free_symbolic ( void **  Symbolic,
std::complex< double >  ,
SuiteSparse_long   
)
inline

◆ umfpack_get_determinant() [1/4]

int Eigen::umfpack_get_determinant ( double *  Mx,
double *  Ex,
void *  NumericHandle,
double  User_Info[UMFPACK_INFO],
int   
)
inline

◆ umfpack_get_determinant() [2/4]

SuiteSparse_long Eigen::umfpack_get_determinant ( double *  Mx,
double *  Ex,
void *  NumericHandle,
double  User_Info[UMFPACK_INFO],
SuiteSparse_long   
)
inline

◆ umfpack_get_determinant() [3/4]

int Eigen::umfpack_get_determinant ( std::complex< double > *  Mx,
double *  Ex,
void *  NumericHandle,
double  User_Info[UMFPACK_INFO],
int   
)
inline

◆ umfpack_get_determinant() [4/4]

SuiteSparse_long Eigen::umfpack_get_determinant ( std::complex< double > *  Mx,
double *  Ex,
void *  NumericHandle,
double  User_Info[UMFPACK_INFO],
SuiteSparse_long   
)
inline

◆ umfpack_get_lunz() [1/4]

int Eigen::umfpack_get_lunz ( int *  lnz,
int *  unz,
int *  n_row,
int *  n_col,
int *  nz_udiag,
void *  Numeric,
double   
)
inline

◆ umfpack_get_lunz() [2/4]

int Eigen::umfpack_get_lunz ( int *  lnz,
int *  unz,
int *  n_row,
int *  n_col,
int *  nz_udiag,
void *  Numeric,
std::complex< double >   
)
inline

◆ umfpack_get_lunz() [3/4]

SuiteSparse_long Eigen::umfpack_get_lunz ( SuiteSparse_long *  lnz,
SuiteSparse_long *  unz,
SuiteSparse_long *  n_row,
SuiteSparse_long *  n_col,
SuiteSparse_long *  nz_udiag,
void *  Numeric,
double   
)
inline

◆ umfpack_get_lunz() [4/4]

SuiteSparse_long Eigen::umfpack_get_lunz ( SuiteSparse_long *  lnz,
SuiteSparse_long *  unz,
SuiteSparse_long *  n_row,
SuiteSparse_long *  n_col,
SuiteSparse_long *  nz_udiag,
void *  Numeric,
std::complex< double >   
)
inline

◆ umfpack_get_numeric() [1/4]

int Eigen::umfpack_get_numeric ( int  Lp[],
int  Lj[],
double  Lx[],
int  Up[],
int  Ui[],
double  Ux[],
int  P[],
int  Q[],
double  Dx[],
int *  do_recip,
double  Rs[],
void *  Numeric 
)
inline

◆ umfpack_get_numeric() [2/4]

int Eigen::umfpack_get_numeric ( int  Lp[],
int  Lj[],
std::complex< double >  Lx[],
int  Up[],
int  Ui[],
std::complex< double >  Ux[],
int  P[],
int  Q[],
std::complex< double >  Dx[],
int *  do_recip,
double  Rs[],
void *  Numeric 
)
inline

◆ umfpack_get_numeric() [3/4]

SuiteSparse_long Eigen::umfpack_get_numeric ( SuiteSparse_long  Lp[],
SuiteSparse_long  Lj[],
double  Lx[],
SuiteSparse_long  Up[],
SuiteSparse_long  Ui[],
double  Ux[],
SuiteSparse_long  P[],
SuiteSparse_long  Q[],
double  Dx[],
SuiteSparse_long *  do_recip,
double  Rs[],
void *  Numeric 
)
inline

◆ umfpack_get_numeric() [4/4]

SuiteSparse_long Eigen::umfpack_get_numeric ( SuiteSparse_long  Lp[],
SuiteSparse_long  Lj[],
std::complex< double >  Lx[],
SuiteSparse_long  Up[],
SuiteSparse_long  Ui[],
std::complex< double >  Ux[],
SuiteSparse_long  P[],
SuiteSparse_long  Q[],
std::complex< double >  Dx[],
SuiteSparse_long *  do_recip,
double  Rs[],
void *  Numeric 
)
inline

◆ umfpack_numeric() [1/4]

int Eigen::umfpack_numeric ( const int  Ap[],
const int  Ai[],
const double  Ax[],
void *  Symbolic,
void **  Numeric,
const double  Control[UMFPACK_CONTROL],
double  Info[UMFPACK_INFO] 
)
inline

◆ umfpack_numeric() [2/4]

int Eigen::umfpack_numeric ( const int  Ap[],
const int  Ai[],
const std::complex< double >  Ax[],
void *  Symbolic,
void **  Numeric,
const double  Control[UMFPACK_CONTROL],
double  Info[UMFPACK_INFO] 
)
inline

◆ umfpack_numeric() [3/4]

SuiteSparse_long Eigen::umfpack_numeric ( const SuiteSparse_long  Ap[],
const SuiteSparse_long  Ai[],
const double  Ax[],
void *  Symbolic,
void **  Numeric,
const double  Control[UMFPACK_CONTROL],
double  Info[UMFPACK_INFO] 
)
inline

◆ umfpack_numeric() [4/4]

SuiteSparse_long Eigen::umfpack_numeric ( const SuiteSparse_long  Ap[],
const SuiteSparse_long  Ai[],
const std::complex< double >  Ax[],
void *  Symbolic,
void **  Numeric,
const double  Control[UMFPACK_CONTROL],
double  Info[UMFPACK_INFO] 
)
inline

◆ umfpack_report_control() [1/4]

void Eigen::umfpack_report_control ( double  control[UMFPACK_CONTROL],
double  ,
int   
)
inline

◆ umfpack_report_control() [2/4]

void Eigen::umfpack_report_control ( double  control[UMFPACK_CONTROL],
double  ,
SuiteSparse_long   
)
inline

◆ umfpack_report_control() [3/4]

void Eigen::umfpack_report_control ( double  control[UMFPACK_CONTROL],
std::complex< double >  ,
int   
)
inline

◆ umfpack_report_control() [4/4]

void Eigen::umfpack_report_control ( double  control[UMFPACK_CONTROL],
std::complex< double >  ,
SuiteSparse_long   
)
inline

◆ umfpack_report_info() [1/4]

void Eigen::umfpack_report_info ( double  control[UMFPACK_CONTROL],
double  info[UMFPACK_INFO],
double  ,
int   
)
inline

◆ umfpack_report_info() [2/4]

void Eigen::umfpack_report_info ( double  control[UMFPACK_CONTROL],
double  info[UMFPACK_INFO],
double  ,
SuiteSparse_long   
)
inline

◆ umfpack_report_info() [3/4]

void Eigen::umfpack_report_info ( double  control[UMFPACK_CONTROL],
double  info[UMFPACK_INFO],
std::complex< double >  ,
int   
)
inline

◆ umfpack_report_info() [4/4]

void Eigen::umfpack_report_info ( double  control[UMFPACK_CONTROL],
double  info[UMFPACK_INFO],
std::complex< double >  ,
SuiteSparse_long   
)
inline

◆ umfpack_report_status() [1/4]

void Eigen::umfpack_report_status ( double  control[UMFPACK_CONTROL],
int  status,
double  ,
int   
)
inline

◆ umfpack_report_status() [2/4]

void Eigen::umfpack_report_status ( double  control[UMFPACK_CONTROL],
int  status,
double  ,
SuiteSparse_long   
)
inline

◆ umfpack_report_status() [3/4]

void Eigen::umfpack_report_status ( double  control[UMFPACK_CONTROL],
int  status,
std::complex< double >  ,
int   
)
inline

◆ umfpack_report_status() [4/4]

void Eigen::umfpack_report_status ( double  control[UMFPACK_CONTROL],
int  status,
std::complex< double >  ,
SuiteSparse_long   
)
inline

◆ umfpack_solve() [1/4]

int Eigen::umfpack_solve ( int  sys,
const int  Ap[],
const int  Ai[],
const double  Ax[],
double  X[],
const double  B[],
void *  Numeric,
const double  Control[UMFPACK_CONTROL],
double  Info[UMFPACK_INFO] 
)
inline

◆ umfpack_solve() [2/4]

int Eigen::umfpack_solve ( int  sys,
const int  Ap[],
const int  Ai[],
const std::complex< double >  Ax[],
std::complex< double >  X[],
const std::complex< double >  B[],
void *  Numeric,
const double  Control[UMFPACK_CONTROL],
double  Info[UMFPACK_INFO] 
)
inline

◆ umfpack_solve() [3/4]

SuiteSparse_long Eigen::umfpack_solve ( int  sys,
const SuiteSparse_long  Ap[],
const SuiteSparse_long  Ai[],
const double  Ax[],
double  X[],
const double  B[],
void *  Numeric,
const double  Control[UMFPACK_CONTROL],
double  Info[UMFPACK_INFO] 
)
inline

◆ umfpack_solve() [4/4]

SuiteSparse_long Eigen::umfpack_solve ( int  sys,
const SuiteSparse_long  Ap[],
const SuiteSparse_long  Ai[],
const std::complex< double >  Ax[],
std::complex< double >  X[],
const std::complex< double >  B[],
void *  Numeric,
const double  Control[UMFPACK_CONTROL],
double  Info[UMFPACK_INFO] 
)
inline

◆ umfpack_symbolic() [1/4]

int Eigen::umfpack_symbolic ( int  n_row,
int  n_col,
const int  Ap[],
const int  Ai[],
const double  Ax[],
void **  Symbolic,
const double  Control[UMFPACK_CONTROL],
double  Info[UMFPACK_INFO] 
)
inline

◆ umfpack_symbolic() [2/4]

int Eigen::umfpack_symbolic ( int  n_row,
int  n_col,
const int  Ap[],
const int  Ai[],
const std::complex< double >  Ax[],
void **  Symbolic,
const double  Control[UMFPACK_CONTROL],
double  Info[UMFPACK_INFO] 
)
inline

◆ umfpack_symbolic() [3/4]

SuiteSparse_long Eigen::umfpack_symbolic ( SuiteSparse_long  n_row,
SuiteSparse_long  n_col,
const SuiteSparse_long  Ap[],
const SuiteSparse_long  Ai[],
const double  Ax[],
void **  Symbolic,
const double  Control[UMFPACK_CONTROL],
double  Info[UMFPACK_INFO] 
)
inline

◆ umfpack_symbolic() [4/4]

SuiteSparse_long Eigen::umfpack_symbolic ( SuiteSparse_long  n_row,
SuiteSparse_long  n_col,
const SuiteSparse_long  Ap[],
const SuiteSparse_long  Ai[],
const std::complex< double >  Ax[],
void **  Symbolic,
const double  Control[UMFPACK_CONTROL],
double  Info[UMFPACK_INFO] 
)
inline

◆ viewAsCholmod() [1/5]

template<typename _Scalar , int _Options, typename _Index >
const cholmod_sparse Eigen::viewAsCholmod ( const SparseMatrix< _Scalar, _Options, _Index > &  mat)

◆ viewAsCholmod() [2/5]

template<typename _Scalar , int _Options, typename _Index , unsigned int UpLo>
cholmod_sparse Eigen::viewAsCholmod ( const SparseSelfAdjointView< const SparseMatrix< _Scalar, _Options, _Index >, UpLo > &  mat)

Returns a view of the Eigen sparse matrix mat as Cholmod sparse matrix. The data are not copied but shared.

◆ viewAsCholmod() [3/5]

template<typename _Scalar , int _Options, typename _Index >
const cholmod_sparse Eigen::viewAsCholmod ( const SparseVector< _Scalar, _Options, _Index > &  mat)

◆ viewAsCholmod() [4/5]

template<typename Derived >
cholmod_dense Eigen::viewAsCholmod ( MatrixBase< Derived > &  mat)

Returns a view of the Eigen dense matrix mat as Cholmod dense matrix. The data are not copied but shared.

◆ viewAsCholmod() [5/5]

template<typename _Scalar , int _Options, typename _StorageIndex >
cholmod_sparse Eigen::viewAsCholmod ( Ref< SparseMatrix< _Scalar, _Options, _StorageIndex > >  mat)

Wraps the Eigen sparse matrix mat into a Cholmod sparse matrix object. Note that the data are shared.

◆ viewAsEigen()

template<typename Scalar , int Flags, typename StorageIndex >
MappedSparseMatrix<Scalar,Flags,StorageIndex> Eigen::viewAsEigen ( cholmod_sparse &  cm)

Returns a view of the Cholmod sparse matrix cm as an Eigen sparse matrix. The data are not copied but shared.

Variable Documentation

◆ ActualPacketAccessBit

const unsigned int Eigen::ActualPacketAccessBit = 0x0

◆ all

Eigen::all
static

Can be used as a parameter to DenseBase::operator()(const RowIndices&, const ColIndices&) to index all rows or columns

◆ AutoOrder

const int Eigen::AutoOrder = 2

◆ CoherentAccessPattern

const int Eigen::CoherentAccessPattern = 0x1

◆ Dynamic

const int Eigen::Dynamic = -1

This value means that a positive quantity (e.g., a size) is not known at compile-time, and that instead the value is stored in some runtime variable.

Changing the value of Dynamic breaks the ABI, as Dynamic is often used as a template parameter for Matrix.

◆ DynamicIndex

const int Eigen::DynamicIndex = 0xffffff

This value means that a signed quantity (e.g., a signed index) is not known at compile-time, and that instead its value has to be specified at runtime.

◆ exponents

EIGEN_DEVICE_FUNC const Eigen::ArrayBase<Derived>& Eigen::exponents
Initial value:
{
typedef typename internal::promote_scalar_arg<typename Derived::Scalar,Scalar,
EIGEN_SCALAR_BINARY_SUPPORTED(pow,Scalar,typename Derived::Scalar)>::type PromotedScalar
#define EIGEN_SCALAR_BINARY_SUPPORTED(OPNAME, TYPEA, TYPEB)
Definition: Macros.h:1344
const Eigen::CwiseBinaryOp< Eigen::internal::scalar_pow_op< typename Derived::Scalar, typename ExponentDerived::Scalar >, const Derived, const ExponentDerived > pow(const Eigen::ArrayBase< Derived > &x, const Eigen::ArrayBase< ExponentDerived > &exponents)
Definition: GlobalFunctions.h:143
type
The type the bitset is encoded with.
Definition: bitset.hpp:44

◆ HereditaryBits

const unsigned int Eigen::HereditaryBits
Initial value:
const unsigned int EvalBeforeNestingBit
Definition: Constants.h:70
const unsigned int RowMajorBit
Definition: Constants.h:66

◆ HugeCost

const int Eigen::HugeCost = 10000

This value means that the cost to evaluate an expression coefficient is either very expensive or cannot be known at compile time.

This value has to be positive to (1) simplify cost computation, and (2) allow to distinguish between a very expensive and very very expensive expressions. It thus must also be large enough to make sure unrolling won't happen and that sub expressions will be evaluated, but not too large to avoid overflow.

◆ Infinity

const int Eigen::Infinity = -1

This value means +Infinity; it is currently used only as the p parameter to MatrixBase::lpNorm<int>(). The value Infinity there means the L-infinity norm.

◆ InnerRandomAccessPattern

const int Eigen::InnerRandomAccessPattern = 0x2 | CoherentAccessPattern

◆ last

Eigen::last
static

Can be used as a parameter to Eigen::seq and Eigen::seqN functions to symbolically reference the last element/row/columns of the underlying vector or matrix once passed to DenseBase::operator()(const RowIndices&, const ColIndices&).

This symbolic placeholder supports standard arithmetic operations.

A typical usage example would be:

using namespace Eigen;
VectorXd v(n);
v(seq(2,last-2)).setOnes();
Namespace containing all symbols from the Eigen library.
Definition: LDLT.h:16
static const symbolic::SymbolExpr< internal::symbolic_last_tag > last
Definition: IndexedViewHelper.h:38
internal::enable_if<!(symbolic::is_symbolic< FirstType >::value||symbolic::is_symbolic< LastType >::value), ArithmeticSequence< typename internal::cleanup_index_type< FirstType >::type, Index > >::type seq(FirstType f, LastType l)
Definition: ArithmeticSequence.h:234
See also
end

◆ NestByRefBit

const unsigned int Eigen::NestByRefBit = 0x100

◆ OuterRandomAccessPattern

const int Eigen::OuterRandomAccessPattern = 0x4 | CoherentAccessPattern

◆ RandomAccessPattern

const int Eigen::RandomAccessPattern = 0x8 | OuterRandomAccessPattern | InnerRandomAccessPattern

◆ UndefinedIncr

const int Eigen::UndefinedIncr = 0xfffffe

This value means that the increment to go from one value to another in a sequence is not constant for each step.