Eigen Namespace Reference

Namespaces
	internal

Classes
class	AutoDiffChainHessian
class	AutoDiffChainHessianSparse
class	AutoDiffChainJacobian
class	AutoDiffChainJacobianSparse
class	AutoDiffScalar
class	FiniteDiffChainHessian
class	FiniteDiffChainJacobian
struct	NumTraits< AutoDiffScalar< DerType > >
struct	NumTraits< AutoDiffScalar< SparseVector< DerType_ > > >
struct	ScalarBinaryOpTraits< AutoDiffScalar< DerType >, typename DerType::Scalar, BinOp >
struct	ScalarBinaryOpTraits< typename DerType::Scalar, AutoDiffScalar< DerType >, BinOp >

Typedefs
template<typename T >
using	MatrixType = Eigen::Matrix< T, Eigen::Dynamic, Eigen::Dynamic >
typedef Eigen::Ref< Eigen::MatrixXd >	MatrixXdRef
typedef const Eigen::Ref< const Eigen::MatrixXd > &	MatrixXdRefConst
typedef Eigen::Ref< Eigen::VectorXd >	VectorXdRef
typedef const Eigen::Ref< const Eigen::VectorXd > &	VectorXdRefConst
	Convenience wrapper for storing references to sub-matrices/vectors. More...

Enumerations
enum	NumericalDiffMode { Forward, Central }

Functions
template<typename DerTypeA , typename DerTypeB >
const AutoDiffScalar< Matrix< typename internal::traits< typename internal::remove_all< DerTypeA >::type >::Scalar, Dynamic, 1 > >	atan2 (const AutoDiffScalar< DerTypeA > &a, const AutoDiffScalar< DerTypeB > &b)
template<typename DerTypeA , typename DerTypeB >
const AutoDiffScalar< SparseVector< typename internal::traits< typename internal::remove_all< DerTypeA >::type >::Scalar > >	atan2 (const AutoDiffScalar< DerTypeA > &a, const AutoDiffScalar< DerTypeB > &b)
template<typename DerType >
const AutoDiffScalar< DerType > &	conj (const AutoDiffScalar< DerType > &x)
	EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY (abs, using std::abs;return Eigen::MakeAutoDiffScalar(abs(x.value()), x.derivatives()*(x.value()< 0?-1:1));) EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(abs2
	EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY (sqrt, using std::sqrt;Scalar sqrtx=sqrt(x.value());return Eigen::MakeAutoDiffScalar(sqrtx, x.derivatives()*(Scalar(0.5)/sqrtx));) EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(cos
	EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY (sin, using std::sin;using std::cos;return Eigen::MakeAutoDiffScalar(sin(x.value()), x.derivatives()*cos(x.value()));) EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(exp
	EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY (log, using std::log;return Eigen::MakeAutoDiffScalar(log(x.value()), x.derivatives()*(Scalar(1)/x.value()));) template< typename DerType > inline const Eigen
	EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY (tan, using std::tan;using std::cos;return Eigen::MakeAutoDiffScalar(tan(x.value()), x.derivatives()*(Scalar(1)/numext::abs2(cos(x.value()))));) EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(asin
	EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY (acos, using std::sqrt;using std::acos;return Eigen::MakeAutoDiffScalar(acos(x.value()), x.derivatives()*(Scalar(-1)/sqrt(1-numext::abs2(x.value()))));) EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(tanh
	EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY (sinh, using std::sinh;using std::cosh;return Eigen::MakeAutoDiffScalar(sinh(x.value()), x.derivatives()*cosh(x.value()));) EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(cosh
Eigen::VectorXd	IdentityTransform ()
template<typename DerType >
DerType::Scalar	imag (const AutoDiffScalar< DerType > &)
template<typename NewDerType >
AutoDiffScalar< NewDerType >	MakeAutoDiffScalar (const typename NewDerType::Scalar &value, const NewDerType &der)
template<typename Scalar , typename... Dims>
Eigen::Tensor< Scalar, sizeof...(Dims)>	MatrixToTensor (const MatrixType< Scalar > &matrix, Dims...dims)
template<typename DerType >
const AutoDiffScalar< DerType > &	real (const AutoDiffScalar< DerType > &x)
	return (x<=y?ADS(x):ADS(y))
	return (x >=y?ADS(x):ADS(y))
	return (x< y?ADS(x):ADS(y))
	return (x > y?ADS(x):ADS(y))
template<typename Scalar , int rank, typename sizeType >
MatrixType< Scalar >	TensorToMatrix (const Eigen::Tensor< Scalar, rank > &tensor, const sizeType rows, const sizeType cols)
Eigen::VectorXd	VectorTransform (double px=0.0, double py=0.0, double pz=0.0, double qx=0.0, double qy=0.0, double qz=0.0, double qw=1.0)

Variables
Scalar	expx = exp(x.value())
const T &	y

Typedef Documentation

template<typename T >

using Eigen::MatrixType = typedef Eigen::Matrix<T, Eigen::Dynamic, Eigen::Dynamic>

Definition at line 61 of file conversions.h.

typedef Eigen::Ref<Eigen::MatrixXd> Eigen::MatrixXdRef

Definition at line 55 of file conversions.h.

typedef const Eigen::Ref<const Eigen::MatrixXd>& Eigen::MatrixXdRefConst

Definition at line 53 of file conversions.h.

typedef Eigen::Ref<Eigen::VectorXd> Eigen::VectorXdRef

Definition at line 54 of file conversions.h.

typedef const Eigen::Ref<const Eigen::VectorXd>& Eigen::VectorXdRefConst

Convenience wrapper for storing references to sub-matrices/vectors.

Definition at line 52 of file conversions.h.

Enumeration Type Documentation

enum Eigen::NumericalDiffMode

Enumerator
Forward
Central

Definition at line 35 of file finitediff_common.h.

Function Documentation

template<typename DerTypeA , typename DerTypeB >

const AutoDiffScalar<Matrix<typename internal::traits<typename internal::remove_all<DerTypeA>::type>::Scalar, Dynamic, 1> > Eigen::atan2 ( const AutoDiffScalar< DerTypeA > &  a, const AutoDiffScalar< DerTypeB > &  b  )

inline

Definition at line 721 of file autodiff_scalar.h.

template<typename DerTypeA , typename DerTypeB >

const AutoDiffScalar<SparseVector<typename internal::traits<typename internal::remove_all<DerTypeA>::type>::Scalar> > Eigen::atan2 ( const AutoDiffScalar< DerTypeA > &  a, const AutoDiffScalar< DerTypeB > &  b  )

inline

Definition at line 739 of file autodiff_scalar.h.

template<typename DerType >

const AutoDiffScalar<DerType>& Eigen::conj ( const AutoDiffScalar< DerType > &  x )

inline

Definition at line 628 of file autodiff_scalar.h.

Eigen::EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY	(	abs	,
		using std::abs;return Eigen::MakeAutoDiffScalar(abs(x.value()), x.derivatives()*(x.value()< 0?-1:1));
	)

Eigen::EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY	(	sqrt	,
		using std::sqrt;Scalar	sqrtx = sqrt(x.value()); return Eigen::MakeAutoDiffScalar(sqrtx, x.derivatives() * (Scalar(0.5) / sqrtx));
	)

Eigen::EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY	(	sin	,
		using std::sin;using std::cos;return Eigen::MakeAutoDiffScalar(sin(x.value()), x.derivatives()*cos(x.value()));
	)

Eigen::EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY	(	log	,
		using std::log;return Eigen::MakeAutoDiffScalar(log(x.value()), x.derivatives()*(Scalar(1)/x.value()));
	)		const

Definition at line 705 of file autodiff_scalar.h.

Eigen::EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY	(	tan	,
		using std::tan;using std::cos;return Eigen::MakeAutoDiffScalar(tan(x.value()), x.derivatives()*(Scalar(1)/numext::abs2(cos(x.value()))));
	)

Eigen::EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY	(	acos	,
		using std::sqrt;using std::acos;return Eigen::MakeAutoDiffScalar(acos(x.value()), x.derivatives()*(Scalar(-1)/sqrt(1-numext::abs2(x.value()))));
	)

Eigen::EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY	(	sinh	,
		using std::sinh;using std::cosh;return Eigen::MakeAutoDiffScalar(sinh(x.value()), x.derivatives()*cosh(x.value()));
	)

Eigen::VectorXd Eigen::IdentityTransform

(

)

Definition at line 44 of file conversions.cpp.

template<typename DerType >

DerType::Scalar Eigen::imag ( const AutoDiffScalar< DerType > &  )

inline

Definition at line 638 of file autodiff_scalar.h.

template<typename NewDerType >

AutoDiffScalar<NewDerType> Eigen::MakeAutoDiffScalar ( const typename NewDerType::Scalar &  value, const NewDerType &  der  )

inline

Definition at line 51 of file autodiff_scalar.h.

template<typename Scalar , typename... Dims>

Eigen::Tensor<Scalar, sizeof...(Dims)> Eigen::MatrixToTensor ( const MatrixType< Scalar > &  matrix, Dims...  dims  )

inline

Definition at line 69 of file conversions.h.

template<typename DerType >

const AutoDiffScalar<DerType>& Eigen::real ( const AutoDiffScalar< DerType > &  x )

inline

Definition at line 633 of file autodiff_scalar.h.

Eigen::return

(

x<=y?

ADSx):ADS(y

)

Eigen::return

(

x >=y?

ADSx):ADS(y

)

Eigen::return

(

)

Eigen::return	(	x	,
		y?	ADSx):ADS(y
	)

template<typename Scalar , int rank, typename sizeType >

MatrixType<Scalar> Eigen::TensorToMatrix ( const Eigen::Tensor< Scalar, rank > &  tensor, const sizeType  rows, const sizeType  cols  )

inline

Definition at line 63 of file conversions.h.

Eigen::VectorXd Eigen::VectorTransform	(	double	px = 0.0,
		double	py = 0.0,
		double	pz = 0.0,
		double	qx = 0.0,
		double	qy = 0.0,
		double	qz = 0.0,
		double	qw = 1.0
	)

Definition at line 38 of file conversions.cpp.

Variable Documentation

Scalar Eigen::expx = exp(x.value())

Definition at line 702 of file autodiff_scalar.h.

const AutoDiffScalar< DerType > & Eigen::y

Initial value:

{
    typedef AutoDiffScalar<typename Eigen::internal::remove_all<DerType>::type::PlainObject> ADS

Definition at line 644 of file autodiff_scalar.h.