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| GTSAM_CONCEPT_ASSERT (HasManifoldPrereqs< Rot2 >) |
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| GTSAM_CONCEPT_ASSERT (HasTestablePrereqs< Rot2 >) |
| template<int D = 1> |
| static Matrix | QcqpValue (const Rot2 &value) |
| | Return a matrix-valued QCQP variable for Rot2.
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| template<int D = 1> |
| static std::vector< std::pair< Matrix, double > > | QcqpConstraints () |
| | Return row-space QCQP equality constraints A, b such that trace(x_i' A x_i) = b[j].
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| template<int D> |
| static Rot2 | FromQcqpValue (const Matrix &X) |
| | Project a D=1 minimal vector or canonical 2-by-D lift back to Rot2.
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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 Eigen::Matrix< double, product(N, N), 1 > | Vec (const Rot2 &m, OptionalJacobian< product(N, N), LieGroupTraits< Rot2 >::dimension > H={}) |
| | Vectorize the matrix representation of a Lie group element.
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static TangentVector | AdjointTranspose (const Rot2 &m, const TangentVector &x, ChartJacobian Hm={}, ChartJacobian Hx={}) |
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static TangentVector | Adjoint (const Rot2 &m, const TangentVector &x, ChartJacobian Hm={}, ChartJacobian Hx={}) |
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static Jacobian | adjointMap (const TangentVector &xi) |
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static TangentVector | adjoint (const TangentVector &xi, const TangentVector &y, ChartJacobian Hxi={}, ChartJacobian H_y={}) |
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static TangentVector | adjointTranspose (const TangentVector &xi, const TangentVector &y, ChartJacobian Hxi={}, ChartJacobian H_y={}) |
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static TangentVector | Logmap (const Rot2 &m) |
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static Rot2 | Expmap (const TangentVector &v) |
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static Rot2 | Compose (const Rot2 &m1, const Rot2 &m2, ChartJacobian H1={}, ChartJacobian H2={}) |
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static Rot2 | Between (const Rot2 &m1, const Rot2 &m2, ChartJacobian H1={}, ChartJacobian H2={}) |
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static Rot2 | Inverse (const Rot2 &m, ChartJacobian H={}) |
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static Eigen::Matrix< double, dimension, dimension > | AdjointMap (const Rot2 &m) |
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static Rot2 | Identity () |
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static TangentVector | Local (const Rot2 &origin, const Rot2 &other) |
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static Rot2 | Retract (const Rot2 &origin, const TangentVector &v) |
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static size_t | GetDimension (const Rot2 &m) |
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static void | Print (const Rot2 &m, const std::string &str="") |
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static bool | Equals (const Rot2 &m1, const Rot2 &m2, double tol=1e-8) |
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static constexpr int | QcqpVectorDim = 3 |
| | Dimension of the D=1 homogenized QCQP vector [h, cos(theta), sin(theta)].
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static constexpr auto | dimension |
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static constexpr auto | dimension |
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using | LieAlgebra |
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using | TangentVector |
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using | Jacobian |
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using | ChartJacobian |
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typedef OptionalJacobian< dimension, dimension > | ChartJacobian |
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typedef Rot2 | ManifoldType |
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typedef Eigen::Matrix< double, dimension, 1 > | TangentVector |
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using | Manifold |
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using | structure_category |
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using | group_flavor |
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using | Jacobian |
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typedef Rot2 | ManifoldType |
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typedef manifold_tag | structure_category |
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typedef Eigen::Matrix< double, dimension, 1 > | TangentVector |
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typedef OptionalJacobian< dimension, dimension > | ChartJacobian |