template<typename _Derived>
manif::SE2TangentBase struct

The base class of the SE2 tangent.

Base classes

template<class _Derived>
struct TangentBase<_Derived>
Base class for Lie groups' tangents. Defines the minimum common API.

Public functions

auto hat() const -> LieAlg
Hat operator of SE2.
auto exp(OptJacobianRef J_m_t = {}) const -> LieGroup
Get the SE2 element.
auto retract(OptJacobianRef J_m_t = {}) const -> MANIF_DEPRECATED LieGroup
This function is deprecated. Please considere using exp instead.
auto rjac() const -> Jacobian
Get the right Jacobian of SE2.
auto rjacinv() const -> Jacobian
Get the inverse right Jacobian of SE2.
auto ljac() const -> Jacobian
Get the left Jacobian of SE2.
auto ljacinv() const -> Jacobian
Get the inverse left Jacobian of SE2.
auto x() const -> Scalar
Get the x component of the translational part.
auto y() const -> Scalar
Get the y component of the translational part.
auto angle() const -> Scalar
Get the rotational part.
auto data() -> Scalar*
Access the underlying data by pointer.
auto data() const -> const Scalar*
Access the underlying data by const pointer.
auto coeffs() -> DataType&
Access the underlying data by reference.
auto coeffs() const -> const DataType&
Access the underlying data by const reference.

Protected functions

auto derived() & -> _Derived& noexcept
auto derived() const & -> const _Derived& noexcept

Function documentation

template<typename _Derived>
LieAlg manif::SE2TangentBase<_Derived>::hat() const

Hat operator of SE2.

Returns An element of the Lie algebra se2 (skew-symmetric matrix).

template<typename _Derived>
LieGroup manif::SE2TangentBase<_Derived>::exp(OptJacobianRef J_m_t = {}) const

Get the SE2 element.

Returns The SE2 element.

template<typename _Derived>
Jacobian manif::SE2TangentBase<_Derived>::rjac() const

Get the right Jacobian of SE2.

template<typename _Derived>
Jacobian manif::SE2TangentBase<_Derived>::ljac() const

Get the left Jacobian of SE2.