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typedef Fixed | ManifoldType |
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typedef Eigen::Matrix< double, dimension, 1 > | TangentVector |
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typedef Eigen::Matrix< double, dimension, dimension > | Jacobian |
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typedef OptionalJacobian< dimension, dimension > | ChartJacobian |
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static constexpr auto | dimension = M * N |
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static constexpr int | QcqpVectorDim = dimension + 1 |
| | Dimension of the exact D=1 homogeneous QCQP vector [1; vec(value)].
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template<int D> |
| static Matrix | QcqpValue (const Fixed &value) |
| | Return the exact D=1 homogeneous QCQP representation.
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template<int D> |
| static std::vector< std::pair< Matrix, double > > | QcqpConstraints () |
| | Return the homogeneous-coordinate constraint x(0)^2 = 1.
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template<int D> |
| static Fixed | FromQcqpValue (const Matrix &qcqpValue) |
| | Recover a fixed-size value from its exact D=1 homogeneous QCQP vector.
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static TangentVector | Local (const Fixed &origin, const Fixed &other, ChartJacobian H1={}, ChartJacobian H2={}) |
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static Fixed | Retract (const Fixed &origin, const TangentVector &v, ChartJacobian H1={}, ChartJacobian H2={}) |
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static void | Print (const Fixed &m, const std::string &str="") |
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static bool | Equals (const Fixed &v1, const Fixed &v2, double tol=1e-8) |
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static TangentVector | Logmap (const Fixed &m, ChartJacobian H={}) |
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static Fixed | Expmap (const TangentVector &v, ChartJacobian H={}) |
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static size_t | GetDimension (const Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > &) |
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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={}) |
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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={}) |
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static TangentVector | Logmap (const Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > &m, ChartJacobian Hm={}) |
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static Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > | Expmap (const TangentVector &v, ChartJacobian Hv={}) |
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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={}) |
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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={}) |
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static Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > | Inverse (const Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > &v, ChartJacobian H={}) |
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static LieAlgebra | Hat (const TangentVector &v) |
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static TangentVector | Vee (const LieAlgebra &X) |
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static Jacobian | AdjointMap (const Eigen::Matrix< double, M, N, Options, MaxRows, MaxCols > &) |