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gtsam::traits< Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > > Struct Template Reference
Inheritance diagram for gtsam::traits< Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > >:

Group

typedef additive_group_tag group_flavor
static Fixed Identity ()

Manifold

typedef Fixed ManifoldType
typedef Eigen::Matrix< double, dimension, 1 > TangentVector
typedef Eigen::Matrix< double, dimension, dimension > Jacobian
typedef OptionalJacobian< dimension, dimension > ChartJacobian
static constexpr auto dimension = M * N
static constexpr int QcqpVectorDim = dimension + 1
 Dimension of the exact D=1 homogeneous QCQP vector [1; vec(value)].
template<int D>
static Matrix QcqpValue (const Fixed &value)
 Return the exact D=1 homogeneous QCQP representation.
template<int D>
static std::vector< std::pair< Matrix, double > > QcqpConstraints ()
 Return the homogeneous-coordinate constraint x(0)^2 = 1.
template<int D>
static Fixed FromQcqpValue (const Matrix &qcqpValue)
 Recover a fixed-size value from its exact D=1 homogeneous QCQP vector.
static TangentVector Local (const Fixed &origin, const Fixed &other, ChartJacobian H1={}, ChartJacobian H2={})
static Fixed Retract (const Fixed &origin, const TangentVector &v, ChartJacobian H1={}, ChartJacobian H2={})

Static Public Member Functions

Testable
static void Print (const Fixed &m, const std::string &str="")
static bool Equals (const Fixed &v1, const Fixed &v2, double tol=1e-8)
Lie Group
static TangentVector Logmap (const Fixed &m, ChartJacobian H={})
static Fixed Expmap (const TangentVector &v, ChartJacobian H={})
static size_t GetDimension (const Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > &)
static TangentVector Local (const Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > &origin, const Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > &other, ChartJacobian H1={}, ChartJacobian H2={})
static Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > Retract (const Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > &origin, const TangentVector &v, ChartJacobian H1={}, ChartJacobian H2={})
static TangentVector Logmap (const Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > &m, ChartJacobian Hm={})
static Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > Expmap (const TangentVector &v, ChartJacobian Hv={})
static Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > Compose (const Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > &v1, const Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > &v2, ChartJacobian H1={}, ChartJacobian H2={})
static Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > Between (const Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > &v1, const Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > &v2, ChartJacobian H1={}, ChartJacobian H2={})
static Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > Inverse (const Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > &v, ChartJacobian H={})
static LieAlgebra Hat (const TangentVector &v)
static TangentVector Vee (const LieAlgebra &X)
static Jacobian AdjointMap (const Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > &)

Public Types

typedef vector_space_tag structure_category
typedef Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > Fixed
typedef Eigen::Matrix< double, N, 1 > TangentVector
typedef OptionalJacobian< N, N > ChartJacobian
typedef Eigen::Matrix< double, N, N > Jacobian
typedef Eigen::Matrix< double, N, 1 > LieAlgebra

The documentation for this struct was generated from the following file:
  • /tmp/gtsam-4.3.0-doxygen.rsXPUS/source/gtsam/base/VectorSpace.h